$\int_0^{\sqrt{2}}\left(3xe^{x^2+1}\right)dx$

$-5\:\left(4y\:-\:3\right)$

$\lim_{x\to\pi}\left(\frac{1-sin\left(x\right)}{csc\left(x\right)}\right)$

$3\cdot2\left(2\right)-2\cdot2\cdot1+12\cdot1\cdot2$

$x^2-\frac{3}{2}+\frac{9}{16}$

$3\sqrt{5}-4\sqrt{5}$

$-cos\left(x\right)sin^3\left(x\right)-\frac{3cos\left(x\right)sin\left(x\right)}{2}+\frac{3x}{2}$