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The integral \( \int \frac{d x}{(x+4)^{8 / 7}(x-3)^{6 / 7}} \) is equal to : [JEE Main 2020, 9 Jan (Shift 1)]

Q1

The integral \( \int \frac{d x}{(x+4)^{8 / 7}(x-3)^{6 / 7}} \) is equal to :

[JEE Main 2020, 9 Jan (Shift 1)]

a

\( \left(\frac{x-3}{x+4}\right)^{1/7}+C \)

b

\( -\frac{1}{13}\left(\frac{x-3}{x+4}\right)^{-13 / 7}+C \)

c

\( \frac{1}{2}\left(\frac{x-3}{x+4}\right)^{3 / 7}+C \)

d

\( -\left(\frac{x-3}{x+4}\right)^{-1 / 7}+C \)

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