Chapter 12.1, Problem 1CP

True or false:

(a) ${\displaystyle \int \left(4x^3-2x\right)}dx={\displaystyle \int 4x^{3}dx}-{\displaystyle \int 2xdx=\left(x^4+C\right)-\left(x^2+C\right)=x^4-x^2}$

(b) ${\displaystyle \int \frac{1}{3x^2}dx}=\frac{1}{3\left(x^3/3\right)}+C=\frac{1}{x^3}+C$