Question

Evaluate the following integrals:

Answer 1

lol

Answer 2

\[\int\limits x^ndx=\frac{ x^n+1 }{ n+1 } \]

Answer 3

Remember your exponent rules? :)
\[\Large\rm \int\limits_{-1}^1\frac{1}{x^2}dx=\int\limits_{-1}^1 x^{-2}dx\]
You can apply the power rule ( which joseph posted ) from this form.

Answer 4

http://www.wolframalpha.com/widgets/view.jsp?id=8ab70731b1553f17c11a3bbc87e0b605