Find the antiderivative for each function when C equals $0.$ Do as many as you can mentally. Check your answers by differentiation.

a$.15x^{14}$

b$.x^{15}$

c$.x^{2}9x14$

a$.$ The antiderivative of $15x^{14}$ is $,$

b$.$ The antiderivative of $x^{15}$ is $$

c$.$ The antiderivative of $x^{2}9x14$ is $$