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

Question

anonymous · Answer

$$\int\limits_{}^{}\sin ^{2}x \cos ^{4}x$$$$\int\limits_{}^{}(2\sin ^{2}xcos ^{4}x)/2$$$$\int\limits\limits_{}^{}(1-\cos x/2)\cos ^{4}x/4$$
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

anonymous · Answer

1+cos^4x

anonymous · Answer

Do you need the answer or the working

anonymous · Answer

I need the working

anonymous · Answer

damn the answer the huge

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

using theese equations first remove the powers

dumbcow · Answer

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