Find the integral of $\frac{\left(x^{-\frac{1}{5}}y^{\frac{3}{2}}\right)^{10}}{\left(y^{\frac{1\cdot -2}{5}}\sqrt[3]{x^{2}}\right)^5}$

Compute the integral

$\int xdx$

Compute the integral

$\int\left(x\cdot\cos\left(2x^2+3\right)\right)dx$

Compute the integral

$\int x\left(x^2-3\right)dx$

$factor\left(x^4+x^3-6x^2-4x+8\right)$

Compute the integral

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

Compute the integral

$\int x^2\cos\left(2x\right)dx$

$factor\left(121+198x^6+81x^{12}\right)$