Question

how to integrate sin^2(x)cos^4(x)

Answer 1

\[\int\limits_{}^{}\sin ^{2}x \cos ^{4}x\]\[\int\limits_{}^{}(2\sin ^{2}xcos ^{4}x)/2\]\[\int\limits\limits_{}^{}(1-\cos x/2)\cos ^{4}x/4\]
In the same way dissociate cos^4 x into 1-cos^2 x/2 and then into 1-cos^2 x/4 and continue its way too much to write the equations here

Answer 2

1+cos^4x

Answer 3

Do you need the answer or the working

Answer 4

I need the working

Answer 5

damn the answer the huge

Answer 6

lol can you explain more, i still don't get how it works

Answer 7

\[2\sin ^{2}x=1-cosx/2\]
\[2\cos ^{2}x=1+cosx/2\]

Answer 8

using theese equations first remove the powers

Answer 9

you could also substitute
sin^2 = 1-cos^2

--> integral cos^4 - cos^6
then you have to look up the reduction formula for cos^n