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10. S dx. (x2+1)(x²+2) Answer - In (x2 +1) - In (x² + 2) + G.

10. S dx. (x2+1)(x²+2) Answer - In (x2 +1) - In (x² + 2) + G.

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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Question

Solve by Guess-and-Check (Diff. Equations)

4. S xe * dx. Answer. e-x/2(-4 — 2х) + с. 5. Sx²e-* dx. Answer. -x*e -х — 2хе х — 2е -* + с. 6. Г x? cos 2xх dx. Answer. x cos 2x + (;x - :) sin 2x + c 2х + с. 7. S dx. Vx2+1 Answer. Vx2 +1+c. 8. So J dx. x²+1 Answer. V2 - 1. 1 9. S (x2+1)(x2+9) dx. 1 1 х — 24 -1 x tan 1 Answer. tan + c. 8 dx. (x2+1)(x2+2) Answer. - In (x? + 1) – In (x² + 2) + c. dx 11. S x3+4x Answer. In x - In (x² + 4) + c. 4 (In x)5 12. S dx. Answer. (In x)6 + c.
Transcribed Image Text:4. S xe * dx. Answer. e-x/2(-4 — 2х) + с. 5. Sx²e-* dx. Answer. -x*e -х — 2хе х — 2е -* + с. 6. Г x? cos 2xх dx. Answer. x cos 2x + (;x - :) sin 2x + c 2х + с. 7. S dx. Vx2+1 Answer. Vx2 +1+c. 8. So J dx. x²+1 Answer. V2 - 1. 1 9. S (x2+1)(x2+9) dx. 1 1 х — 24 -1 x tan 1 Answer. tan + c. 8 dx. (x2+1)(x2+2) Answer. - In (x? + 1) – In (x² + 2) + c. dx 11. S x3+4x Answer. In x - In (x² + 4) + c. 4 (In x)5 12. S dx. Answer. (In x)6 + c.
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