Finding Antiderivatives

Evaluate the indefinite integral

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

Find the following indefinite integral

$\displaystyle\int 3x^6 + 5 + 7\sqrt{x}\ dx$

Evaluate the following integral

$\displaystyle\int (3x + 5x^2) \ dx$

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