### Home > CALC > Chapter Ch7 > Lesson 7.4.4 > Problem 7-207

7-207.

Use integration by parts and substitution.

There is a vertical asymptote at *x* = 0, so this improper integral needs to be rewritten in proper form (as a limit).

In fact, write a sum of two proper integrals.

Use *u*-substitution. sec^{2}*x*tan*x* = (sec*x*)(sec*x*)(tan*x*)