sinx-3-dx-

Question Number 124906 by Mammadli last updated on 06/Dec/20

\int {s i n x}^{3} d x = ?

Commented by Dwaipayan Shikari last updated on 06/Dec/20

\int {s i n x}^{3} d x

= \frac{1}{2 i} \int e^{{i x}^{3}} - e^{- {i x}^{3}} d x

= \frac{i x \sqrt{{i x}^{3}}}{6 x^{2}} Γ (\frac{1}{3}, {i x}^{3}) + \frac{i x \sqrt{- {i x}^{3}}}{6 x^{2}} Γ (\frac{1}{3}, - {i x}^{3}) (I n c o m p l e t e g a m m a)