Question

integration of sin cube 2x

Answer 1

Remeber how recipes say "set one egg aside"? Well, set one of the sines aside:

integral of sin2 (2x) sin(2x) dx

Now use the Pythagorean identity to rewrite in cosines:

integral of (1 - cos2(2x)) sin(2x) dx

and integrate by substitution, using u = cos(2x), (-1/2)du = sin(x)dx. This or a similar trick can be used whenever you have:

-an odd power of sine and any power of cosine
-an odd power of cosine and any power of sine
-an even power of secant and any power of tangent
-an odd power of tangent and any power of secant

Only the cases with sineven coseven and tanevensecodd need special methods.

Hope u liked the answer. Please mark it as 'The Brainliest Answer '.You can also follow me.