# Thread: integration by substitution

1. ## integration by substitution

Hi,

Is is possible to integrate (sin 2x)^10dx by substitution?

Thanks

2. Originally Posted by sad_student
Hi,

Is is possible to integrate (sin 2x)^10dx by substitution?

Thanks
Yes, but you have to start by recognising that $\sin^{10} (2x) = [\sin^2 (2x)]^5 = \left[ \frac{1 - \cos (4x)}{2}\right]^5$ and then expand.