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Integrate the functionssqrt(x^2+3x)...

Integrate the functions`sqrt(x^2+3x)`

Text Solution

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Let `I=int sqrt(x^2+3x)dx`
`=int sqrt(x^2+3x+9/4−9/4)dx`
`=int sqrt((x+3/2)^2−(3/2)^2)dx`
We know that, `int sqrt(x^2−a^2)dx=x/2 sqrt(x^2−a^2)−(a^2)/2 log∣x+sqrt(x^2−a^2)∣+C`
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