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anonymous
 5 years ago
help! definite integral: (2+cos^2theta/cos^2theta)dtheta when dtheta is from pi/4 to 0
anonymous
 5 years ago
help! definite integral: (2+cos^2theta/cos^2theta)dtheta when dtheta is from pi/4 to 0

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0break it to 2 integrals: int(2/cox thera) + int(cox^2(theta))/conx^2)= 2int(1/cox^2) + int(theta) d... finish it  let me know if there is a problem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oups...cox=cos... typo

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{0}^{\pi/4} \frac{2+\cos^2(t)}{\cos^2(t)}dt\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0split it up; like inik states...but with out the typo :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0and we get: [S] 2sec^2(t) + 1 dt

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we see that sec^2(t) is the sderivative of tan(t); and 1 is the derivative of t

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[F(t) = 2\tan(t) + t ; [0,\pi/4]\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0tan(0) = 0...so the 0 part is useless.... go with the pi/4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02(1) + pi/4 = 2 + pi/4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.011.14159  :) 4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you so much this helped a lot i also had a question about the definite integral: ((1(sqrtx))/sqrtx dx when dx=9 to 4 i got the answer 3 but am not sure on that. if you could help that would be awesome

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0this is a plit as well; [S] 1/sqrt(x)  1 dx ; turn that sqrt into an exponent to deal with it easier.. [S] x^(1/2)  1 dx ; becomes 2sqrt(x)  x ; [4,9]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02(3)  9  [2(2)4] 6  9  (44) = 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0perfect! just had to check
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