29 - Convergent, Divergent and Indeterminate Improper Integrals

When we have such integrals, we will be dealing with limits.
As you know, limits converge, diverge, or are indeterminate.

The same applies to improper integrals. But why?

As you can see, when this limit does exist, we say that the improper integral converges to that limit.
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Let's now do an example of divergence.

As you take an infinitely larger interval, you'll get an infinitely larger area.
Logically, this improper integral will diverge to positive infinity.
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Let's prove it!

This is the end of Integral Calculus.

29 - Convergent, Divergent and Indeterminate Improper Integrals

The same applies to improper integrals. But why?

Let's now do an example of divergence.

Let's prove it!

This is the end of Integral Calculus.

30 - Grand Review - Integral Calculus