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

In which of the following cases the value of the integral is more than 10?

A. $\displaystyle\int_0^2 |x|\,dx$

B. $\displaystyle\int_0^2 (x+3)^2\,dx$

C. $\displaystyle\int_0^2 e^x\,dx$

D. $\displaystyle\int_0^2 (2x+5)\,dx$

Choose the correct answer from the options given below:

$\displaystyle\int \dfrac{1+\cos\theta}{1-\cos\theta}\,d\theta =$

$\int_{-2}^{1}|x^2-1|dx$ equals:

$\int \frac{x^2 - 4}{(x+2)(x-1)(x-3)} dx =$

The value of $\int_0^{\pi/2} \frac{\cos x}{\cos\frac{x}{2}+\sin\frac{x}{2}}\,dx$ is

$\int_0^2 x(2-x)^n dx$ is equal to