$\int x\:16x^4\left(x^5+3\right)^4dx$
$sin2\:x\:+\:cos\:x$
$\int\frac{1}{\left(9t^2+16\right)^2}dx$
$4+2a^2-5$
$1-2\sin\left(x\right)-4\cos\left(2x\right)$
$\int\left(x^{12}e^{x^{13}}\right)dx$
$\frac{dy}{dx}=y-4y^3$
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