a Show that using either u 2x 1 or u x 1 2 b Show that c Prove the identity 2 sin 1 x sin 1 (2x 1) 2 dx sin (2x 1) C Vx x dx Vx 2 sinlVx C using u 1 Vx...

a Note that x x x x 14 14 x 12 14 14 x 12 We can write Let u 2x1 Then du 2 dx Substituting gives ...

a. Show that using either u = 2x - 1 or u = x -1/2. b. Show

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a. Show that dx sin (2x – 1) + C Vx – x² using either u = 2x - 1 or u = x -1/2.

b. Show that dx Vx. 2 sinlVx + C using u -1. Vx –

c. Prove the identity 2 sin^-1√x - sin^-1(2x - 1) = π/2.

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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 09:03 AM

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a. Show that using either u = 2x - 1 or u = x -1/2. b. Show

Question:

dx sin (2x – 1) + C Vx – x² dx Vx. 2 sinlVx + C using u -1. Vx –

Step by Step Answer:

a Note that x x x x 14 14 x 12 14 14 x 12 We can write Let u 2x1 Then du 2 dx Substituting gives ...View the full answer

Calculus Early Transcendentals

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