Question

please help!! solve the integral of (cos^2)(sin^4)

Answer 1

put cos^2=c0s2x+1

Answer 2

or c0s^2=1-sin^@

Answer 3

but then how do you solve the integral of sin^4??

Answer 4

first expand sin^4(x) in terms of sin^2 and cos^2

Answer 5

@chenna, how to expand it??

Answer 6

put sin^4=sin^2sin^2
then=sin^(1-cos^)

Answer 7

sry sin^2(1-cos^2)

Answer 8

vipul. you are wrong.

http://www.stewartcalculus.com/data/CALCULUS%20Concepts%20and%20Contexts/upfiles/3c3-TrigonometIntegrals_Stu.pdf

follow this link. this will help you.

Answer 9

if you can't follow ask me. message me.

Answer 10

@chenna well now i got the integral of sin^4....but can u help me solve the integral of sin^6??

Answer 11

first you write sin^4(x) and cos^2(x) interms of cos2x

Answer 12

make use of example 4 in that link i provided you.

Answer 13

first write cos^2(x) in terms of cos2x. what do you get?

Answer 14

any progress? ask me if you don't get it.

Answer 15

here is the answer to your question.

http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-a-trigonometric-powers-trigonometric-substitution-and-completing-the-square/session-69-integral-of-sin-n-x-cos-m-x-even-exponents/MIT18_01SCF10_ex69sol.pdf