$\int\cos^6\left(7x\right)\:dx$
$xyln\left(y\right)dx-\left(x-1\right)^{-\frac{1}{2}}dy=0$
$\int\frac{2x+1}{x-2}dx$
$\sqrt{\frac{6}{x}}\cdot\sqrt{\frac{x^{2}}{24}}$
$\int\left(2y^3\sqrt{5y^4+7}\right)dy$
$x+14=3$
$\left(1+cosx\right)^2+\left(sinx\right)^2$
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