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Question

Question: \[\tan^{- 1}x^{2} + c\]...

tan1x2+c\tan^{- 1}x^{2} + c

A

ex1+ex6mudx=\int_{}^{}{\frac{e^{- x}}{1 + e^{x}}\mspace{6mu} dx =}

B

log(1+ex)xex+c\log(1 + e^{x}) - x - e^{- x} + c

C

log(1+ex)+xex+c\log(1 + e^{x}) + x - e^{- x} + c

D

None of these

Answer

log(1+ex)xex+c\log(1 + e^{x}) - x - e^{- x} + c

Explanation

Solution

Put a+b+cx2+ka + b + cx^{2} + k

Then 12ax2+13bx3+14cx4+k\frac{1}{2}ax^{2} + \frac{1}{3}bx^{3} + \frac{1}{4}cx^{4} + k.