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Solve part D

Solve part D

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve part D 

Finding a Pattern: (a) Rewrite the integrand as a product by factoring a tan² x and use this form to find the indefinite integral. Ita 3 tan³ r dr tan5 x dr (b) Use part (a) to find Stan³x Ita tan 2k+1 2 2 dz tan x 2 tan⁹ x dx = - In secx + C tan x 4 tan x 2 (c) Continue the pattern in parts (a) and (b) to rewrite the integrand in terms of tan2k-1 (do not integrate) s 1 tan2k−1 x sec? xdx — tanx (d) Use part (c) to find ftan Stan + In secx + C * 2k-1 dx
Transcribed Image Text:Finding a Pattern: (a) Rewrite the integrand as a product by factoring a tan² x and use this form to find the indefinite integral. Ita 3 tan³ r dr tan5 x dr (b) Use part (a) to find Stan³x Ita tan 2k+1 2 2 dz tan x 2 tan⁹ x dx = - In secx + C tan x 4 tan x 2 (c) Continue the pattern in parts (a) and (b) to rewrite the integrand in terms of tan2k-1 (do not integrate) s 1 tan2k−1 x sec? xdx — tanx (d) Use part (c) to find ftan Stan + In secx + C * 2k-1 dx
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