1. ## Improper Integrals

I know that I have to take the limit of each of these problems, but I'm not sure exactly how to approach them.

2) Integral of (x^(-5/4)) dx bounded by 1 (lower) to infiniti (upper)

3) Integral of (1)/((8-x)^1/3) dx bounded by 0 (lower) to 8 (upper)

Thanks in advance for the help.

2. Originally Posted by jake210
I know that I have to take the limit of each of these problems, but I'm not sure exactly how to approach them.

2) Integral of (x^(-5/4)) dx bounded by 1 (lower) to infiniti (upper)

3) Integral of (1)/((8-x)^1/3) dx bounded by 0 (lower) to 8 (upper)

Thanks in advance for the help.

$\lim_{b \to \infty} \int_1^b x^{-\frac{5}{4}} \, dx$

$\lim_{b \to 8} \int_0^b (8-x)^{-\frac{1}{3}} \, dx$

give them a shot, jake ... they both converge.