If , then and…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

\int \frac{(\sqrt{x})^5}{(\sqrt{x})^7+x^6}\,dx=a\log\left(\frac{x^k}{1+x^k}\right)+C

, then

a

and

k

are (1)

\frac{2}{5},\frac{5}{2}

(2)

\frac{1}{5},\frac{2}{5}

(3)

\frac{5}{2},\frac{1}{2}

(4)

\frac{2}{5},\frac{1}{2}