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int sqrt(1+x-2x^(2))dx=...

`int sqrt(1+x-2x^(2))dx=`

A

`((4x+1))/(8)sqrt(1+x-2x^(2))+(9)/(16sqrt(2))sin^(-1) ((4x+1)/(3))+c`

B

`((4x-1))/(8)sqrt(1+x-2x^(2))+(9)/(16sqrt(2))sin^(-1) ((4x-1)/(3))+c`

C

`((4x-1))/(8)sqrt(1+x+2x^(2))-(9)/(6sqrt(2))sin^(-1) ((4x-1)/(3))+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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