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Evaluate: int(8x+13)/(sqrt(4x+7))\ dx...

Evaluate: `int(8x+13)/(sqrt(4x+7))\ dx`

Text Solution

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`I=int frac{8 x+13}{sqrt{4 x+7}} dx`
`t=sqrt{4 x+7} Rightarrow d t=frac{2}{sqrt{4 x+7}} d x`
`I=frac{1}{2} int(2(t^{2}-7)+13) d t=int t^{2} d t-int 7 d t+int frac{13}{2} d t`
`=int {t}^{2} dt-frac{1}{2} int dt=frac{t^{3}}{3}-frac{t}{2}+c`
...
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