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Evaluate: int(4x+3)/(sqrt(2x^2+3x+1))dx...

Evaluate: `int(4x+3)/(sqrt(2x^2+3x+1))dx`

Text Solution

Verified by Experts

I=`int(4x+3)/(sqrt(2x^2+3x+1))dx`
Let `2x^2+3x+1=t`
=`(4x+3)dx=dt`
I=`int(4x+3)/(sqrt(2x^2+3x+1))dx`
=`dt/sqrt(t)+c`
=`2t^(1/2)+c`
=`2(2x^2+3x+1)^(1/2)+c`
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