$\int_{-\frac{5}{2}}^{\frac{5}{2}} |x| dx$ is equal to

Match List-I with List-II

[.] denotes the greatest integer function.

Choose the correct answer from the options given below:

$\int \frac{1}{\cos^2 x (1 + \tan x)^3} \, dx =$

The value of the definite integral $I = \int_{-1}^{1} \frac{1}{1 + \sqrt{e^x}} dx$ is:

Value of $\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \log(\tan x)dx$ is

The value of $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} (\sin|x| + \cos|x|)dx$, is equal to:

If $\displaystyle\int_{-1}^{b} x^3\,dx = \dfrac{15}{4}$, then $b$ can take the value