Chapter 12.3, Problem 1CP

True or false:

(a) ${\displaystyle \int e^{x2}\left(2xdx\right)=e^{x2}\cdot x^2+C}$

(b) ${\displaystyle \int e^{-3x}dx=-\frac{1}{3}{e}^{-3x}+C}$

(c) ${\displaystyle \int \frac{dx}{e^{3x}}=\frac{1}{3}\left(\frac{1}{e^{3x}}\right)}+C$

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