Evaluate the integrals in Exercises 73–112.

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QUESTION:

Evaluate the integrals in Exercises 73–112.

          \(\int_{1}^{e} \frac{1}{x}(1+7 \ln x)^{-1 / 3} d x\)

Equation Transcription:

Text Transcription:

Integral_1^e 1/x (1+7 ln x)^-⅓ dx

Questions & Answers

QUESTION:

Evaluate the integrals in Exercises 73–112.

          \(\int_{1}^{e} \frac{1}{x}(1+7 \ln x)^{-1 / 3} d x\)

Equation Transcription:

Text Transcription:

Integral_1^e 1/x (1+7 ln x)^-⅓ dx

ANSWER:

SOLUTION

Step 1 of 2

In this problem, we have to evaluate

Consider

Put

When we get

When we get

Therefore  

                                

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