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Infinite intervals of integration Evaluate the
Chapter 7, Problem 12E(choose chapter or problem)
QUESTION:
Infinite intervals of integration Evaluate the following integrals or state that they diverge.
\(\int_{0}^{\infty} \frac{x}{\sqrt[5]{x^{2}+1}} d x\)
Questions & Answers
QUESTION:
Infinite intervals of integration Evaluate the following integrals or state that they diverge.
\(\int_{0}^{\infty} \frac{x}{\sqrt[5]{x^{2}+1}} d x\)
ANSWER:Step 1 of 4
We have to evaluate the integral
Therefore
Let us use the substitution method here.
Let