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int(dx)/sqrt(2-3x-x^(2))=...

`int(dx)/sqrt(2-3x-x^(2))=`

A

(a) `tan^(-1)((2x+3)/sqrt(17))+c`

B

(b) `sec^(-1)((2x+3)/sqrt(17))+c`

C

(c) `sin^(-1)((2x+3)/sqrt(17))+c`

D

(d) `cos^(-1)((2x+3)/sqrt(17))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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