Explanation Given: The integral is ∫ 1 e x 3 ln ( x ) d x Approach: Integral by parts- It is a method of integration when two function multiplied together. ∫ ( u v ) d x = u ∫ v d x − ∫ u ' ( ∫ v d x ) d x In this u , v is the function of x and u ' is derivative of x Calculation: Given integral is ∫ 1 e x 3 ln ( x ) d x In this u = ln ( x ) , v = x 3 ∫ 1 e x 3 ln ( x ) d x = [ ln ( x ) × ∫ x 3 d x − ∫ d d x ( ln ( x ) ) ( ∫ ( x 3 ) d x ) d x ] 1 e = [

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ISBN: 9780321964458

Author: Lial

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 8.CR, Problem 35CR

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Value of given integral ∫1ex3ln(x)dx.

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Chapter 8.CR, Problem 34CR

Chapter 8.CR, Problem 36CR

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Value of given integral ∫ 1 e x 3 ln ( x ) d x .

Solution Summary: The author explains that integrals are a method of integration when two functions are multiplied together.

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To find:

Value of given integral ∫1ex3ln(x)dx.

Want to see the full answer?

Chapter 8 Solutions

Value of given integral ∫ 1 e x 3 ln ( x ) d x .

Solution Summary: The author explains that integrals are a method of integration when two functions are multiplied together.

Concept explainers

Videos

To find: Value of given integral ∫1ex3ln(x)dx.

Want to see the full answer?

Chapter 8 Solutions

To find:

Value of given integral ∫1ex3ln(x)dx.