A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
integrate tan^3(x/4)*sec^2(x/4) from2/3pi to pi
help with the steps plz.
anonymous
 5 years ago
integrate tan^3(x/4)*sec^2(x/4) from2/3pi to pi help with the steps plz.

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0since sec^2 is the derivaive of tan, this is a simple enough arrangement: \[\int f(u)du\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i thinkk you might be off by a 4 tho

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x/4 pops out a spurious little 1/4 that missing

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is 2pi/3 to pi = to pi to 2pi/3 ???

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0then given the interval [a,b] you work it out: F(b)F(a)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326817635699:dw

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[[tan^4(\frac{1}{4}x)]'=\frac{1}{4}tan^3(\frac{1}{4}x)sec^2(\frac{1}{4}x)\] so we have to multiply thru by 4 to begin with

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326817802065:dw

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1\[u=\frac{x}{4}\to du=\frac{dx}{4}\to4du=dx\]\[\int_0}{dw:1326817852162:dw

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\Pi ^{2}\div9{(65\Pi ^{2}/9)26)}\] i got this ans. s this correct??i

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol, I just derived tan^4(x/4) and got a spurious 1/4 so that cant be right

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm, im off by something

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0wolf agrees with turing

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0oh yeah, the 4 pops out to get rid of the 1/4 lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0derivative of (x/4) i think u miss it during derivative

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1yep, one comes out on top and bottom, so they cancel

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0a was using an abacus ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dw:1326818150512:dw i did this process n got that ans

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1is the problem\[\int_{\frac{2\pi}{3}}^{\pi}\tan^3(\frac x4)\sec^2(\frac x4)dx\]?

TuringTest
 5 years ago
Best ResponseYou've already chosen the best response.1\[\int_{\frac{2\pi}{3}}^{\pi}\tan^3(\frac x4)\sec^2(\frac x4)dx\]\[u=\frac x4\to du=\frac{dx}{4}\to4du=dx\]so...\[\int_{\frac{2\pi}{3}}^{\pi}\tan^3(\frac x4)\sec^2(\frac x4)dx=4\int_{\frac{\pi}{6}}^{\frac{\pi}{4}}\tan^3u\sec^2udu=4(\frac14\tan^4(\frac x4))_{\frac{2\pi}{3}}^{\pi}\]\[=\tan^4(\frac x4)_{\frac{2\pi}{3}}^{\pi}\]evaluate...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\text{Tan}\left[\frac{\pi }{4}\right]^4\text{Tan}\left[\frac{\frac{2}{3}\pi }{4}\right]^4=\frac{8}{9} \]
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.