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Integrate the functions(5x+3)/(sqrt(x^2+...

Integrate the functions`(5x+3)/(sqrt(x^2+4x+10))`

Text Solution

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We have,`∫(5x+3)/sqrt(​x^2+4x+10) ​dx`
`5x+3=Ad/dx*​(x^2+4x+10)+B`
⇒`5x+3=A(2x+4)+B`
⇒`5x+3=2Ax+4A+B`
...
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