Evaluate ∫$$x2+2x+5dx$$

Correct option is 112(x+1)x2+2x+5+2sinh-1x+C

Questions

$Evaluate \int \sqrt{x^{2} + 2 x + 5} d x$

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12(x+1)x2+2x+5+2sinh-1x+C

12(x+1)x2+2x+5+2cosh-1x+C

12(x+1)x2+2x+5-2sinh-1x+C

none of these

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detailed solution

Correct option is A

∫x2+2x+5dx=∫(x+1)2+4dx ∫a2+x2dx=x2a2+x2+a22sinh-1x+c ∫(x+1)2+4dx=12(x+1)(x+1)2+22+12⋅(2)2sinh-1x+C =12(x+1)x2+2x+5+2sinh-1x+C

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Evaluate ∫x2+2x+5dx

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$Evaluate \int \sqrt{x^{2} + 2 x + 5} d x$