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Step 2 Apply the rule of integration by parts. J u dv = uv - Submit J Let dv = ew dw and integrate the differential equation to obtain the function v. V v=fov = Sewo And let u cos w. Differentiate u in terms of w. du = -sin (w) J ew dw= W e Step 3 Rewrite integration in terms of u and v. J - sin (w) dw (cos w)ew dw = (cos w)ew - Skip (you cannot come back) V = (cos w)ew + +/₁ du ew(-sin (w) (dv ✓ ) dw * )ew dw

Step 2 Apply the rule of integration by parts. J u dv = uv - Submit J Let dv = ew dw and integrate the differential equation to obtain the function v. V v=fov = Sewo And let u cos w. Differentiate u in terms of w. du = -sin (w) J ew dw= W e Step 3 Rewrite integration in terms of u and v. J - sin (w) dw (cos w)ew dw = (cos w)ew - Skip (you cannot come back) V = (cos w)ew + +/₁ du ew(-sin (w) (dv ✓ ) dw * )ew dw

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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I need help with the very last part of this question i did all of it just need to know whats gonna go at the end please help me

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any p skipped part. Tutorial Exercise Find or evaluate the integral using substitution first, then using integration by parts. S Step 1 cos(In x) dx To find the integral Let w = In x. Differentiate w in terms of x. 9 X Thus, dw = 1 X Therefore, x = e. Differentiate x in terms of w. J [ cos(In x) dx, first use the substitution, then use the formula of integration by parts. dx = e W cos(In x) dx = dx [cos (w) dw cos (w) W dw.
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any p skipped part. Tutorial Exercise Find or evaluate the integral using substitution first, then using integration by parts. S Step 1 cos(In x) dx To find the integral Let w = In x. Differentiate w in terms of x. 9 X Thus, dw = 1 X Therefore, x = e. Differentiate x in terms of w. J [ cos(In x) dx, first use the substitution, then use the formula of integration by parts. dx = e W cos(In x) dx = dx [cos (w) dw cos (w) W dw.
Step 2 Apply the rule of integration by parts. Judv -J u dv = uv - Submit du = -sin (w) V Let dv= ew dw and integrate the differential equation to obtain the function v. v=fov - Sexow - | V dv = dw = e And let u = cos w. Differentiate u in terms of w. 1 Step 3 Rewrite the integration in terms of u and v. W = (cos w)ew dw = (cos w)ew sin (w) dw Skip (you cannot come back) v Sewe (cos w)ew + du J√ dv 201 ew(-sin(w) ) dw X )ew dw
Transcribed Image Text:Step 2 Apply the rule of integration by parts. Judv -J u dv = uv - Submit du = -sin (w) V Let dv= ew dw and integrate the differential equation to obtain the function v. v=fov - Sexow - | V dv = dw = e And let u = cos w. Differentiate u in terms of w. 1 Step 3 Rewrite the integration in terms of u and v. W = (cos w)ew dw = (cos w)ew sin (w) dw Skip (you cannot come back) v Sewe (cos w)ew + du J√ dv 201 ew(-sin(w) ) dw X )ew dw
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