Integrate the function $\csc\left(4v\right)^4\cot\left(4t\right)\csc\left(4v\right)$ from $61$ to $70$

Evaluate the integral

$\int_0^2\left(x^4+2x^2-5\right)dx$

Compute the integral

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

Evaluate the integral

$\int_0^{\infty}\left(\frac{1}{1+x^2}\right)dx$

Compute the integral

$\int\cos\left(4x\right)\cdot\cos\left(6x\right)dx$

Evaluate the integral

$\int_{1}^{3}\cos\left(x\right)^2dx$

Compute the integral

$\int\sec\left(5x\right)\cdot\tan\left(5x\right)dx$

Evaluate the integral

$\int_{-5}^{5}\frac{1}{\sqrt{5-x}}dx$