dx-x-1-3-4x-

Question Number 124624 by bemath last updated on 04/Dec/20

\int \frac{d x}{\sqrt[3]{x} + 4 x}

Answered by Dwaipayan Shikari last updated on 04/Dec/20

\int \frac{3 u^{2} d u}{u + 4 u^{3}} = \frac{3}{8} \int \frac{8 u d u}{1 + 4 u^{2}} = \frac{3}{8} l o g (1 + 4 u^{2}) = \frac{3}{8} l o g (1 + 4 x^{\frac{2}{3}}) + C

T a k i n g (x = u^{3})