$\int\:cos^7\:\left(x-1\right)dx$
$\int4x^7\left(x^4+1\right)dx$
$\int_{\frac{y}{2}}^1\left(x\cdot e^{y^3}\right)dx$
$\frac{x}{\left(1+4x\right)^2}$
$-5n-3n^3+7n+9n^3$
$\frac{x^3-1}{x-5}$
$\int_0^7\frac{1-sin^2\left(x\right)}{cos^2\left(x\right)}dx$
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