o-x-dx-sec-3-x-sin-4-x-

Question Number 124252 by bramlexs22 last updated on 02/Dec/20

o (x) = \int \frac{d x}{\sec^{3} x \sin^{4} x}

Answered by Dwaipayan Shikari last updated on 02/Dec/20

\int \frac{{c o s}^{3} x}{{s i n}^{4} x} d x = \int \frac{c o s x (1 - {s i n}^{2} x)}{{s i n}^{4} x} = - \frac{1}{3 {s i n}^{3} x} + \frac{1}{s i n x} + C