Explanation Given Information: The provided indefinite integral is ∫ x e 4 x d x . Formula used: The integration by parts ∫ u d v = u v − ∫ v d u . Where, u and v are function of x . ∫ e a x d x = e a x a + C Calculation: Consider the indefinite integral ∫ x e 4 x d x Here, d v = e 4 x d x and u = x First find v , d v = e 4 x d x ∫ d v = ∫ e 4 x d x On further solving, v = e 4 x 4 …...…... (1) Now find d u , u = x Differentiate both sides with respect x , d u d x = d x d x d u d x = 1 And, d u = 1 ⋅ d x …...…..

WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term

10th Edition

ISBN: 9781337652308

Author: Ron Larson

Publisher: Brooks Cole

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence t…

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

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Chapter 6.1, Problem 19E

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Chapter 6.1, Problem 18E

Chapter 6.1, Problem 20E

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Chapter 6 Solutions

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The value of indefinite integral ∫ x e 4 x d x .

Solution Summary: The author explains the formula used to calculate the value of the indefinite integral displaystyle

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To calculate: The value of indefinite integral ∫xe4xdx.

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Chapter 6 Solutions