Evaluate the definite integral. Use a graphing utility to verify your result. 6² × Step 1 x sin 2x dx To find the integral J x sin 2x dx, use the formula of integration by parts. Let dv = sin 2x dx. Integrate the differential equation to obtain the function v. v = [ av = [² dv 2 Let u = x. Differentiate u with respect to x. du = sin 2x dx = 1 cos(2 x)

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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Evaluate the definite integral. Use a graphing utility to verify your result.
6² ×
Step 1
x sin 2x dx
To find the integral
J
x sin 2x dx, use the formula of integration by parts.
Let dv = sin 2x dx. Integrate the differential equation to obtain the function v.
v = [ av = [²
dv
2
Let u = x. Differentiate u with respect to x.
du =
sin 2x dx =
1
cos(2
x)
Transcribed Image Text:Evaluate the definite integral. Use a graphing utility to verify your result. 6² × Step 1 x sin 2x dx To find the integral J x sin 2x dx, use the formula of integration by parts. Let dv = sin 2x dx. Integrate the differential equation to obtain the function v. v = [ av = [² dv 2 Let u = x. Differentiate u with respect to x. du = sin 2x dx = 1 cos(2 x)
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