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

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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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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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