$\int_{-1}^{1}(x^7 + x^5 + x^3 + x + 1)dx$ is equal to

$\int_{1}^{2} \frac{1}{x(x+1)} dx, x > 0$ equals

$\int_0^8 (x^{\frac{2}{3}} + 1) dx$ is equal to

The value of $\int_0^{\pi/2} \log_e \left(\frac{5 + 2 \sin x}{5 + 2 \cos x}\right) dx$ is

$\int \frac{\sqrt{1+x^2}}{x^4} dx$ is equal to :

The value of $\int_0^1 \log_e\left(\frac{1}{x} - 1\right)dx$ is:

The value of $\int \frac{(x^4 - x)^{1/4}}{x^5} dx$ is equal to (where C is an arbitrary constant)