$\displaystyle \displaystyle\int^\infty_1 \frac{1}{x^5}\,dx$
How is this calculated?
What is the name of these types of integrals (with infinite in limits and fractions in integrand)?
My previous post tells you to evaluate the antiderivative, plug in a variable for the uppper limit and then subtract the antiderivative evaluated at the lower limit, and take the limit as your variable goes to infinity
$\displaystyle \displaystyle\int \frac{1}{x^5}dx=-\frac{1}{4x^4}+c$
You should be able to solve your question now