A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Integration help!
integral of sec^5 x dx
anonymous
 4 years ago
Integration help! integral of sec^5 x dx

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0/barf im guessing u sub will help you here

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes integration by parts

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0(sec^2x)(sec^2)(sec x)

across
 4 years ago
Best ResponseYou've already chosen the best response.1I read it as sec^5(x)x for a moment there. Hmm, in this case, you have to use a reduction formula.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0red formula will work if you have it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well i havent learned taht so is tehre anoterh way to do it by parts

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0( 1 + tan ^2 x ) ( 1 + tan^2 x ) (sec x )

across
 4 years ago
Best ResponseYou've already chosen the best response.1I had to look it up\[\frac{\sin(x)\sec^{m1}(x)}{m1}+\frac{m+2}{m1}\int\sec^{m2}(x)dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0this is wat i have so far: \[\int\limits_{}^{}\sec^3 x (\sec^2 dx)\] \[\int\limits_{}^{}\sec^3 x (1+\tan^2 x dx)\] \[\int\limits_{}^{}(\sec^3 x +\sec^3 x \tan^2 x )dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0derive tan x = sec^2x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so do a u sub with u = tan x , du = sec^2 x dx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}(\sec^3 x) + \int\limits_{}^{}(\sec^3 x \tan^2 x) dx\] can i use u sub after this step

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you will prolly end up with a ( 1 + u ) ^(to some power ) then it a simple integration

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can u show me the steps after the one i just did

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ughh i hate problems liek this!! XD...requires too much work

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea, it may have to be broken up into parts I cant get rid of one of the sec^x check out: http://www.wolframalpha.com/input/?i=integrate+sec^5+x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0this IS a reduction formula for powers of sec.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i did n idont understand it b.c it uses smthng i didnt leard which is teh reduction formula thing

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then again do u mind tellin me wat that is

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea, your instructor may not accept a reduction formula answer, it the quick way, but there is a trigonometric solution for this.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0cool i will prob understand that if u explain

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the trig solution i mean

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0there is an identity that will lead to an integral of u. anywa here is a like with the reduction formula for secant, and others http://www.sosmath.com/calculus/integration/moretrigpower/moretrigpower.html

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0as a matter of fact I bet your textbook has a table of integrals for integrals of powers of secant

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what is the dffnce between sex^n (x) and sec^n (ax)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i wud use the first formula right? sec^5 (x) = sec ^52 (x) sec^2(x) = sec^3 (tan^2 x * sec^2 x 1)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0where do u go on from there

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0omg i havent done definite integrals!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0∫sec^5dx=1/4sec^3xtanx+3/4∫sec^3xdx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no definite integrals here

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hmm how did u get 1/4 sec ...etc

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then apply the reduction formula ( or integrate ) \[\int\limits \sec ^ 3 x dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0im confused how u got the previous step thou

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0its from the reduction formula, it ends with an integral of ∫sec^3xdx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i mean teh 1/4 sec part im confused about

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0in the reduction formula it 1/(a(n1) n=5, the power of secant a = 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so now how did u get 3/4?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0from the reduction formula: (n2)/(n1) again n = 5, the power of the secant

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you instructor will be either impressed or put off that you are using the integral tables. :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lol...he will b impressed hopefully...i have a test 2mm n im trying to udnerstand probs idk

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea the trigonometric integrals take practice( obviously )

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0srry this is new to me so after taht step wat do u do..u still have a integral of sec^3 dx to deal with

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right! so integrate the sec^x or use the formula again, but this time with n = 3, see?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sec^x is short, but it indefinite integral has many parts.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so after using n=3 do u get 1/2 sec x dx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right ( n2)/(n1) this time the formula will end with \[\int\limits \sec x dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wait but isnt is half secant

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so how is teh integral jsut sec

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no the formula will end ith ∫secxdx, integrate that and you are done.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits \sec x dx = \ln ( \sec x +tanx ) + C\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so teh final answer is: 1/4 sec^3 x tanx + 3/4 ...idk teh rest

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.01/4 sec^3 x tanx + 3/4∫sec^3xdx then apply the formula again for ∫sec^3xdx that answer will end with ∫sec xdx integrate ∫secxdx, done!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so the final asnwer is: 1/4 sec^3 x tanx + 3/8 sec x tanx + tn (secx+tanx) + C

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0SRY TAHTS SUPPOOSED TO be ln not tn

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right, distribute the 3/4, I didnt work it all out but it looks right. Those tables are in you textbook right, in the appendix?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0under wat heading shud i looj for te hreduction formulas

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i see basic forms, forms invlving sqrt of (a^2+u^2, forms involving (a^2  u^2), forms involvung sqrt of (u^2  a^2), forms involving a+bu, trig forms, inverse trig forms, exp and log forms, hyperbolic forms

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Tables of integrals, Lists of Integrals usually in the appendix, could be on the inside covers.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah i see them in the appenxix...jsut under wat heading of integrals will i fimd teh reduction formulas

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0or wher u jsut letting me know taht tehre was a table of integrtals

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that really what we were using, an integration formula, so you can integrate by parts or look up the formula.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0there might be one for ∫sec^n (ax)dx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0might not http://integraltable.com/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ths is wat is in my bk...sec^n du = 1/n tan u sec^n2 + (n2/n1) *integral of sec^n2 u du

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i guess tahts anoterh form of te one u showed me

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0right that one dont account for a coefficient on x. so, yea, you seem to have it. Im out. ( gotta brush up on my integrals ;) )

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0THANK U SOOOOO MUCH!!! PLUS THE WEBSITE LOOKS SUPER HELPFUL =)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ii imma go study sum more
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.