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Question

Question: \(- \frac{1}{x - 5} + c\)...

−1x−5+c- \frac{1}{x - 5} + c

A

2(x−5)3+c\frac{2}{(x - 5)^{3}} + c

B

−2(x−5)3+c- 2(x - 5)^{3} + c

C

∫f(x)dx=f(x),\int_{}^{}{f(x)dx = f(x)},

D

∫[f(x)]2dx{\int_{}^{}\left\lbrack f(x) \right\rbrack}^{2}dx

Answer

−2(x−5)3+c- 2(x - 5)^{3} + c

Explanation

Solution

∫ex 6mudx1−e2x=\int_{}^{}{\frac{e^{x}\mspace{6mu} dx}{\sqrt{1 - e^{2x}}} =}

cos⁡−1(ex)+c\cos^{- 1}(e^{x}) + c, {Putting −cos⁡−1(ex)+c- \cos^{- 1}(e^{x}) + c