### Home > APCALC > Chapter 5 > Lesson 5.3.2 > Problem5-126

5-126.

Integrate.

1. $\int 2 \operatorname { sec } ( x ) \operatorname { tan } ( x ) d x$

$=2\int \text{sec}(x)\text{tan}(x)dx$

It might be easier to integrate if you factor out the coefficient first.

2. $\int \operatorname { csc } ^ { 2 } ( 2 x ) d x$

$=-\frac{1}{a}\text{cot}(2x)+C$

What is the value of $a$?