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intsqrt(4-9x^(2))dx...

`intsqrt(4-9x^(2))dx`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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