$\sin\:\left(2a\right)\cdot\:\cos\:\left(2a\right)$

$\lim_{x\to\infty}\sqrt{2x^2+3x}-\sqrt{2x^2-5}$

$\int\left(\frac{tan^{-1}\left(5x\right)}{x}\right)dx$

$-25\cdot50$

$\int\:\left(sin^2\left(x\right)+6\right)dx$

$\cos\left(y\right)^3+\cos\left(y\right)\sin\left(y\right)^2$

$\int_1^2\left(\frac{1}{3-5x}\right)dx$