Show that in the following steps a Integrate by parts with u x ln x b Change variables by letting y 1 x c Show that (and that both integrals converge) Conclude that d Evaluate the remaining integral using the change of variables z x 00 V In x dx (1 x) In x In x dx dx Vx (1 x) Vx (1 x)...

a Integrate by parts with u In z dr dxfo TT1 12 21 the product uv has li ...

Show that in the following steps. a. Integrate by parts with u = x ln x. b.

Question:

Show that 00 Vĩ In x т dx = (1 + x)² in the following steps.

a. Integrate by parts with u = √x ln x.

b. Change variables by letting y = 1/x.

c. Show that In x In x dx dx Vx (1 + x) Vx (1 + x) (and that both integrals converge). Conclude that

d. Evaluate the remaining integral using the change of variables z = √x.

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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 06, 2019 01:16 PM

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Show that in the following steps. a. Integrate by parts with u = x ln x. b.

Question:

00 Vĩ In x т dx = (1 + x)² In x In x dx dx Vx (1 + x) Vx (1 + x)

Step by Step Answer:

a Integrate by parts with u In z dr dxfo TT1 12 21 the product uv has li...View the full answer

Calculus Early Transcendentals

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