$\int\left(3y+1\right)^3\sin\left(5y\right)dy$
$\int\frac{e^t}{\sqrt{e^{2t}+25}}dt$
$\int\frac{4x^2+6}{x^2+3x}dx$
$\left(\sin x+\cos x\right)^2\cot x$
$-a^2+50a$
$x\left(3x-1\right)^2$
$\frac{1+\cos\left(x\right)}{\sin\left(x\right)}+\tan\left(x\right)$
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