Question

please integrate sin^4 x cos^4 x dx

Answer 1

i used double angle formula

Answer 2

ok lemme try

Answer 3

my book uses double angle for both of them if the powers are even.

Answer 4

ok

Answer 5

Sorry, I lead you in the wrong direction

The better way to do it is by using a combination of\[\sin x \cos x={1\over2}\sin(2x)\]\[\sin^2x={1\over2}(1-\cos(2x))\]and\[\cos^2x={1\over2}(1+\cos(2x))\]

Answer 6

Note: you will need to use all three formulas above.
Well, maybe not need to, but I did.