$\int e^{-15x}\cdot\cos\left(1+4x\right)dx$

$\csc\left(x\right)=\sin\left(x\right)\tan\left(x\right)+\cos\left(x\right)$

$\left(-\frac{1}{3}xy^2+2y\right)^3$

$\sqrt{\frac{\sqrt[5]{x^2\sqrt{y^3}}}{\sqrt[3]{x^2y}}}$

$\frac{12x^3+9x^2+15x+22}{3x^2+3x}$

$\frac{dy}{dx}=\frac{3x^2+4x+2}{2\left(y-1\right)c}$

$-63-96$