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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$\displaystyle \int \sqrt{x+1} \sin(\sqrt{x+1}) \, dx$ $\displaystyle t = \sqrt{x+1}$ $\displaystyle dt = \frac{dx}{2\sqrt{x+1}} $ $\displaystyle dx = 2t \, dt$ $\displaystyle \int 2t^2 \sin{t} \, dt$ now do parts.
Edit: nvm
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