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Find the indefinite integral. sinh(4 - 7x) dx

Find the indefinite integral. sinh(4 - 7x) dx

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. sinh(4 – 7x) dx Step 1 First, let u = 4 - 7 x. Now, differentiate u with respect to x. -1 du = -7 dx or du = dx 7 Step 2 Substitute for the values of u = 4 – 7x and du = dx and obtain the integrand in terms of u. sinh(4 – 7x)dx = | s sinh u u du Step 3 Use the Constant Multiple Rule. sinh(4 – 7x)đx = sinh u(-du sinh u • du Step 4 Evaluate the integral in terms of u. sinh u: du = - + C
Transcribed Image Text:Find the indefinite integral. sinh(4 – 7x) dx Step 1 First, let u = 4 - 7 x. Now, differentiate u with respect to x. -1 du = -7 dx or du = dx 7 Step 2 Substitute for the values of u = 4 – 7x and du = dx and obtain the integrand in terms of u. sinh(4 – 7x)dx = | s sinh u u du Step 3 Use the Constant Multiple Rule. sinh(4 – 7x)đx = sinh u(-du sinh u • du Step 4 Evaluate the integral in terms of u. sinh u: du = - + C
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