5.12 Integral test
Integral test
Lessons
Notes:
Note *The integral test states the following:
If $f(x)=a_n$ and $f(x)$ is a continuous, positive decreasing function from $[i,\infty]$, then we can say that:
1. If $\int_{i}^{\infty}f(x)dx$ is convergent, then the series $\sum_{n=i}^{\infty}a_n$ is also convergent.
2. If $\int_{i}^{\infty}f(x)dx$ is divergent, then the series $\sum_{n=i}^{\infty}a_n$ is also divergent.

2.
P Series versus Integral test
Use the integral test instead of the pseries test to show that the series converge or diverge. 
3.
Convergence/Divergence of Integral Test
Determine whether the following series converge or diverge using the integral test.