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int (3x+2)sqrt((x^(2)+2x+5))dx=...

`int (3x+2)sqrt((x^(2)+2x+5))dx=`

A

`(x^(2)+2x+5)^(3//2)-((x-1))/(2)sqrt(x^(2)+2x+5)-2 Sinh^(-1)((x+1)/(2))+c`

B

`(x^(2)+2x+5)^(3//2)-((x-1))/(2)sqrt(x^(2)+2x+5)-2 Sinh^(-1)((x+1)/(2))+c`

C

`(x^(2)-2x+5)^(3//2)-((x-1))/(2)sqrt(x^(2)+2x+5)-2 Sinh^(-1)((x+1)/(2))+c`

D

`(x^(2)+2x+5)^(3//2)-((x-1))/(2)sqrt(x^(2)-2x-5)-2 Sinh^(-1)((x+1)/(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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