$\:\int cos4x\:senx\:dx$
$\int\:\left(x^2-2x+1\right)^4dx$
$\int sin\left(12x\right)cos\left(7x\right)dx$
$12x\left(y+2\right)^4$
$\int\frac{5}{1+e^{2x-1}}dx$
$6mn-15n^2$
$\frac{d^3y}{dx^3}+\frac{3d^2y}{dx^2}-4y=0$
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