0-pi-cos-7-x-sin-3x-dx-0-

Question Number 55777 by gunawan last updated on 04/Mar/19

\underset{0}{\int^{π}} \cos^{7} x \sin 3 x d x = 0

Answered by tanmay.chaudhury50@gmail.com last updated on 04/Mar/19

I = \int_{0}^{π} {c o s (π - x)}^{7} \times s i n 3 (π - x) d x

= \int_{0}^{π} (- {c o s}^{7} x) \times s i n (3 π - 3 x) d x

= - \int_{0}^{π} ({c o s}^{7} x) \times s i n 3 x

= - I

2 I = 0

I = 0

Commented by gunawan last updated on 04/Mar/19

Great Sir

Thank you

Facebook Tweet Pin