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intsqrt(4+3x-2x^2)dx=...

`intsqrt(4+3x-2x^2)dx=`

A

`(4x-3)/(4sqrt(2))sqrt(4+3x-2x^2)+(41)/(16sqrt(2))sin^(-1)((4x-3)/(sqrt(41)))+c`

B

`(4x-3)/(4sqrt(2))sqrt(4+3x-2x^2)+(41)/(32sqrt(2))sin^(-1)((4x-3)/(sqrt(41)))+c`

C

`(4x-3)/(8)sqrt(4+3x-2x^2)+(41)/(16sqrt(2))sin^(-1)((4x-3)/(sqrt(41)))+c`

D

`(4x-3)/(8)sqrt(4+3x-2x^2)+(41)/(32sqrt(2))sin^(-1)((4x-3)/(sqrt(41)))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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