### Home > CALC > Chapter 10 > Lesson 10.1.8 > Problem 10-80

10-80.

Use substitution. Let *u* = tan(*t*).

Use partial fraction decomposition.

1/(x – 2) is undefined when *x* = 2, so a limit needs to be used to evaluate this integral.

Since this is the integral of a derivative, your answer should have a "+ *C*".

Use substitution. Let *u* = ln(*x*).