Answer
a) $x^{2} + C$
b) $\frac{x^{3}}{3} + C$
c) $\frac{x^{3}}{3} - x^{2} + x + C$
Work Step by Step
a) The antiderivative is :
Thus, $2\frac{x^{1+1}}{1+1} + C = x^{2} + C$
b) The antiderivative is:
Thus, $\frac{x^{2+1}}{2+1} + C = \frac{x^{3}}{3} + C$
c) The antiderivative is:
Thus, $\frac{x^{2+1}}{2+1} - 2\frac{x^{1+1}}{1+1} + \frac{x^{0+1}}{0+1} + C = \frac{x^{3}}{3} - x^{2} + x + C$