Integral of sqrt(x+1) * sin[sqrt(x+1)] dx

Integration by parts doesn't seem to make the integral any more simple. Any thoughts?

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- Feb 17th 2009, 02:27 PMpianopianoIntegral help please
Integral of sqrt(x+1) * sin[sqrt(x+1)] dx

Integration by parts doesn't seem to make the integral any more simple. Any thoughts? - Feb 17th 2009, 03:00 PMskeeter
$\displaystyle \int \sqrt{x+1} \sin(\sqrt{x+1}) \, dx$

$\displaystyle t = \sqrt{x+1}$

$\displaystyle dt = \frac{dx}{2\sqrt{x+1}} $

$\displaystyle dx = 2t \, dt$

$\displaystyle \int 2t^2 \sin{t} \, dt$

now do parts. - Feb 17th 2009, 03:03 PMKaitosan
Edit: nvm