Find the integral $\frac{\int_{0}^{\frac{\pi }{4}}_{\frac{\pi }{4}}^{0}_{0}^{\frac{\pi }{4}} x\left(\sin\left(x\right)-\cos\left(x\right)\right)}{\int_{0}^{\frac{\pi }{4}}_{\frac{\pi }{4}}^{0}_{0}^{\frac{\pi }{4}}\left(\sin\left(x\right)-\cos\left(x\right)\right)}dx$

Compute the integral

$\int xdx$

Compute the integral

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

Compute the integral

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

Compute the integral

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

Compute the integral

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

Compute the integral

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

Compute the integral

$\int\left(\frac{x}{2}+3\right)^2dx$