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Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

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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Find the indefinite integral and check the result by differentiation. + sec e) de Step 1 To find the indefinite integral, find the anti-derivative of the given integrand Use the power rule of integration to integrate the first term, and the basic rule of integration of trigonometric quantities to integrate the second term. (Use C for the constant of integration.) de + tan e + C C+ + tan(8) Step 2 To check for the result, you have to prove that + tan e + = es + secte. Evaluate the left side of the equation. + tan e + sec e = es + sec?e
Transcribed Image Text:Find the indefinite integral and check the result by differentiation. + sec e) de Step 1 To find the indefinite integral, find the anti-derivative of the given integrand Use the power rule of integration to integrate the first term, and the basic rule of integration of trigonometric quantities to integrate the second term. (Use C for the constant of integration.) de + tan e + C C+ + tan(8) Step 2 To check for the result, you have to prove that + tan e + = es + secte. Evaluate the left side of the equation. + tan e + sec e = es + sec?e
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