$\int_0^{\frac{\pi}{2}}\left(x\sin\left(4x\right)\right)dx$
$9sin^2\left(x\right)cos^2\left(x\right)$
$\int\:16sin\left(4x\right)^3cos\left(4x\right)dx$
$2^2-2\cdot2\cdot5+5^2$
$\int\frac{x^6+x^3+x}{x+1}dx$
$\frac{d}{dx}x^2y^2=x$
$4d^2+5d+1$
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