Question
Determine whether each improper integral is convergent or divergent, and calculate its value if it is convergent.$$\int_{5}^{\infty} x^{4} d x$$
Step 1
We can do this by replacing the upper limit of integration, infinity, with a variable, say 'b', and then taking the limit as 'b' approaches infinity. So, the integral becomes: $$\lim_{b \to \infty} \int_{5}^{b} x^{4} d x$$ Show more…
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