Integrate the function $\left(35+18\cos\left(x\right)\right)^{-1}$ from 0 to $1$

Evaluate the integral

$\int_0^{\frac{\pi}{2}}\frac{1}{1-\sin\left(x\right)}dx$

Evaluate the integral

$\int_1^2x\ln\left(x\right)dx$

Evaluate the integral

$\int_0^3\sqrt{9-x^2}dx$

Evaluate the integral

$\int_0^1xlnxdx$

Evaluate the integral

$\int_0^1x\ln\left(x\right)dx$

Evaluate the integral

$\int_{-1}^2\frac{3x}{x+4}dx$

Evaluate the integral

$\int_0^1xln\left(x\right)dx$