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

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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
3
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