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intsqrt((x-3)(5-x))dx=...

`intsqrt((x-3)(5-x))dx=`

A

`(x-4)/(2)sqrt((8x-x^2)-15)+(1)/(4)sin^(-1)(x-4)+c`

B

`(x-4)/(2)sqrt((8x-x^2)-15)+(1)/(2)sin^(-1)(x-4)+c`

C

`(x-4)/(4)sqrt((8x-x^2)-15)+(1)/(4)sin^(-1)(x-4)+c`

D

`(x-4)/(4)sqrt((8x-x^2)-15)+(1)/(2)sin^(-1)(x-4)+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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