### Home > APCALC > Chapter 7 > Lesson 7.1.3 > Problem7-28

7-28.

Use your results from problem 7-27 to integrate each expression below. What do each of the problems have common?

For a shortcut, examine your answers to problem 7-28.

1. $\int ( 6 x ) ^ { 19 } d x$

$=\int 6^{19}x^{19}dx=6^{19}\int x^{19}dx= ?$

Do not forget the $+C$ at the end of the answer.

2. $\int_{ }^{ }\sec^2(6x)dx$

$=\frac{1}{6}\text{tan}(6x)+C$

Explain where the coefficient, $\frac{1}{6}$, came from.

3. $\int \frac { d x } { 6 x }$

$=\frac{1}{6}\int \frac{1}{x}dx=$