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cos(t) dt 2/3sqrt(x+5)^5-10(x+5)^(1/2) +C (5 sin(t) + 9)2

cos(t) dt 2/3sqrt(x+5)^5-10(x+5)^(1/2) +C (5 sin(t) + 9)2

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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\[ \int \frac{\cos(t)}{(5 \sin(t) + 9)^2} \, dt = \frac{2}{3} \sqrt{(x+5)^5} - 10(x+5)^{1/2} + C \] This expression represents an indefinite integral of the function \(\frac{\cos(t)}{(5 \sin(t) + 9)^2}\) with respect to \(t\). The solution given is \(\frac{2}{3} \sqrt{(x+5)^5} - 10(x+5)^{1/2} + C\), where \(C\) represents the constant of integration.
Transcribed Image Text:\[ \int \frac{\cos(t)}{(5 \sin(t) + 9)^2} \, dt = \frac{2}{3} \sqrt{(x+5)^5} - 10(x+5)^{1/2} + C \] This expression represents an indefinite integral of the function \(\frac{\cos(t)}{(5 \sin(t) + 9)^2}\) with respect to \(t\). The solution given is \(\frac{2}{3} \sqrt{(x+5)^5} - 10(x+5)^{1/2} + C\), where \(C\) represents the constant of integration.
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