$$\int_0^{{\pi \over 2}} {{e^{\sin x}}} \cos x\,xdx$$ is equal to

Direction : Consider the following for the items that follow :

Let f(x) = |x² - x - 2|

What is $\rm \int_0^2f(x)dx$ equal to

Direction : Consider the following for the items that follow :

Let f(x) = |x² - x - 2|

What is $\rm \int_h^3f(x)dx$ equal to

Direction : Consider the following for the items that follow :

Let f(t) = $\rm \ln(t+\sqrt{1+t^2})$ and g(t) = tan(f(t)).  

What is $\rm \int_{-\pi}^\pi g(t)dt$ equal to