$\int x\ln\left(ax\right)dx$
$\int\sinh\left(20x\right)dx$
$\int\left(\frac{1}{1-t^4}\right)dt$
$-t^2+2t+15$
$4r-4r$
$1-\sin^2\left(\frac{\pi}{4}\right)$
$\lim_{x\to\infty}\left(\frac{x^3-2x+3}{x^3+4}\right)^{\frac{1-x^3}{x}}$
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