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Let f :R to [(3)/(4), oo) be a surjectiv...

Let `f :R to [(3)/(4), oo)` be a surjective quadratic function with line of symmetry `2x -1=0 and f (1) =1`
`int (e ^(x))/(f (e ^(x)))dx`

A

`cot ^(-1) ((2x ^(2) -1)/(sqrt3))+C`

B

`(2)/(sqrt3)cot ^(-1) ((2x ^(2) -1)/(sqrt3))+C`

C

`tan ^(-1) ((2x ^(2) -1)/(sqrt3))+C`

D

`(2)/(sqrt3)tan ^(-1) ((2x ^(2) -1)/(sqrt3))+C`

Text Solution

Verified by Experts

The correct Answer is:
D
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