evaluate the following indefinite integrals by substitution & check the result by differentiation.

Question

∫(sin2x)^2 cos2xdx

Answer 1

Go on: wolframalpha dot com

When page be open in rectangle type:

integrate (sin(2x))^2cos(2x)dx

and click option =

After few seconds when you see result click option: Show steps

Then in rectangle type:

derivative (1/6)sin(2x)^3

click option =

and Show steps

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Answer 2

or, just look at the problem. Substitute

u = sin 2x
du = 2cos2x dx

and you have

∫u^2 du/2

If that gives you trouble, you got some catching up to do...