Get answer: ?Determine whether the integral is convergent or divergent. Evaluate

Chapter 7, Problem 39

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QUESTION:

Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.

\(\int_{-2}^{3} \frac{1}{x^{4}} d x\)

Equation Transcription:

Text Transcription:

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

Questions & Answers

QUESTION:

Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent.

\(\int_{-2}^{3} \frac{1}{x^{4}} d x\)

Equation Transcription:

Text Transcription:

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

ANSWER:

Step 1 of 3

We are given that

Note that

Since the integrand is discontinuous at , this is an improper integral of  .

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