# What does it mean if you get 0 for improper

## Homework Statement

Question ∫ secx^2 dx from 0 to ∏ I get tanx and evaluate it using limits
lim tan(pi) - lim(tan(0)) I get 0 for both. What does it mean.

## The Attempt at a Solution

The integral doesn't converge? I know it doesn't but what does 0 mean. Maybe I did something wrong.

Mark44
Mentor

## Homework Statement

Question ∫ secx^2 dx from 0 to ∏ I get tanx and evaluate it using limits
lim tan(pi) - lim(tan(0)) I get 0 for both. What does it mean.

## The Attempt at a Solution

The integral doesn't converge? I know it doesn't but what does 0 mean. Maybe I did something wrong.

The integrand is undefined at x = ##\pi/2##, which makes the integral an improper one. You can't just blithely integrate across a discontinuity.

Man! OK I know how to fix it I should graph first always with these.