$\int20sin^2\left(2x\right)cos^2\left(2x\right)dx$
$\frac{\left(x+1\right)\left(x-7\right)}{\left(x-1\right)\left(x-6\right)\left(x+3\right)}$
$20x^2-40$
$9\cdot17$
$\lim_{x\to0}\left(x\ln\left(x^4\right)\right)$
$49b^2-14b+1$
$\frac{dy}{dx}=2xe^{2x}+y$
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