a. Multiply the numerator and denominator of sec x by sec x + tan x; then use

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a. Multiply the numerator and denominator of sec x by sec x + tan x; then use a change of variables to show that

∫ sec x dx = ln |sec x + tan x| + C.

b. Use a change of variables to show that

∫ csc x dx = -ln |csc x + cot x| + C.

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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: Mar 09, 2019 05:10 AM

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a. Multiply the numerator and denominator of sec x by sec x + tan x; then use

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a Let u sec x tanx and note that du sec 2 x sec ...View the full answer

Calculus Early Transcendentals

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