Antiderivative Examples

Evaluate the following indefinite integral

$\displaystyle\int{3x^6} dx$

Evaluate the indefinite integral

$\displaystyle\int 7\sqrt{x}\ dx$

Let $f^\prime(x) = 2x$ what is the antiderivative, $f(x)$ ?

Evaluate the indefinite integral below

$\displaystyle\int (x^3 + 2x - 1) \ dx$