$\int\:\frac{t\arctan\:\left(t\right)}{\sqrt{1+t^2}}dt$

$2\left(1\right)+3\left(4\right)^2+\left(-6\right)$

$\int-12e^{x+74}dx$

$\int_1^3\left(e^{-x}\cos\left(3.1416x\right)\right)dx$

$\sin\left(\frac{4}{5}+\frac{5}{13}\right)$

$\cot^2\left(x\right)\frac{dy}{dx}=\frac{y}{\left(y^2+1\right)}$

$-3c+5d+3c-d$