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int(x)/(sqrt(8+x-x^2))dx=...

`int(x)/(sqrt(8+x-x^2))dx=`

A

`(1)/(2)sin^(-1)((2x-1)/(sqrt(33)))+sqrt(8+x-x^2)+c`

B

`(1)/(2)sin^(-1)((2x-1)/(sqrt(33)))-sqrt(8+x-x^2)+c`

C

`(1)/(4)sin^(-1)((2x-1)/(sqrt(33)))+sqrt(8+x-x^2)+c`

D

`(1)/(4)sin^(-1)((2x-1)/(sqrt(33)))-sqrt(8+x-x^2)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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