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WZ
Numerade Educator

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Problem 31 Hard Difficulty

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

$ \displaystyle \int_{-2}^3 \frac{1}{x^4}\ dx $

Answer

Divergent

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Video Transcript

the problem is determine why the rich in the bureau is compartment or that wouldn't you violated those that are convergent forthis improper? Integral. A definition. We can write this integral ads into girl from next to zero one over. Access to force the axe bus. There are three one over access to force the axe. This one acts is equal to zero denominator. With this function is zero. This is a proper integral. We need to compute it. A choo Improper Auntie goes now we computed to first. What a definition this's equal to limit a goes to zero from left hand side. This is the girl from next to a of function one over x two or the here we computed to death meeting a girl first. But this is definite. Integral. This is a culture one over negative. All class one. I'm stacks too. Thank you for us, Juan. From negative to tow A. This is because to make tio one third us to make you three from negative too. No way. Yeah, this's Nico to negative One third external active. Well, uh a to make you three minus negative two to make you three. Yeah, Thanks. my a goes to zero a to make you three goes to infinity So the interviewer or the first improper integral is that weren't so for this function. So for the function one over X to force antihero from neck to two to three was this function is their word.