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int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^...

`int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C`
where C is constant of integration. Then f (x) is equal to:

A

`-x`

B

`sqrt (1-x)`

C

x

D

`sqrt(1+x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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VK JAISWAL ENGLISH-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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