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1. fx csc? x dx

1. fx csc? x dx

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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1:59 - O A • 8 ll 12% MATH-5-.GRAL (1) left- and right-hand sides of the equation. If you now add ſe*cosx dx to both sides you get: 2[ e*cosx dx = ex sin x + e* cos x Now, all you do is divide both sides by 2 and throw in the constant: | e*cosx dx = e sin x + e* cos x + C This is why integration by parts is so powerful. Y ou can evaluate a difficut integral by repeatedly rewriting it in tems of integrals you do know. This module is a property of Technological University of the Philippines Visayas and intended for EDUCATIONAL PURPOSES ONLY and is NOT FOR SALE NOR FOR REPRODUCTION. PROGRESS CHECK: Evaluate each of the following integrals. 1. fx csc? x dx III. 2. Sxež* dx 3. dx 4. Sx? cos x dx 5. Sx² In x dx 6. Sx sin 2x dx 7. fIn? x dx 8. Sx sec? x dx 9. fx In x dx 10. Sx²e*dx IV. REFERENCES: Khan, D. S. (2003). Cracking the AP Calculus AB & BC Exams. Random House, Inc. New York Leithhold, Louis, Calculus with Analytic Geometry, 3rd Edition. Love, C. & Rainville, E. Differential and Integral Calculus (6th Ed.) Stewart, J. (2013). Stewart Calculus, Metric Edition (7th Ed.). Cergage Leaming Asia Pte Ltd.
Transcribed Image Text:1:59 - O A • 8 ll 12% MATH-5-.GRAL (1) left- and right-hand sides of the equation. If you now add ſe*cosx dx to both sides you get: 2[ e*cosx dx = ex sin x + e* cos x Now, all you do is divide both sides by 2 and throw in the constant: | e*cosx dx = e sin x + e* cos x + C This is why integration by parts is so powerful. Y ou can evaluate a difficut integral by repeatedly rewriting it in tems of integrals you do know. This module is a property of Technological University of the Philippines Visayas and intended for EDUCATIONAL PURPOSES ONLY and is NOT FOR SALE NOR FOR REPRODUCTION. PROGRESS CHECK: Evaluate each of the following integrals. 1. fx csc? x dx III. 2. Sxež* dx 3. dx 4. Sx? cos x dx 5. Sx² In x dx 6. Sx sin 2x dx 7. fIn? x dx 8. Sx sec? x dx 9. fx In x dx 10. Sx²e*dx IV. REFERENCES: Khan, D. S. (2003). Cracking the AP Calculus AB & BC Exams. Random House, Inc. New York Leithhold, Louis, Calculus with Analytic Geometry, 3rd Edition. Love, C. & Rainville, E. Differential and Integral Calculus (6th Ed.) Stewart, J. (2013). Stewart Calculus, Metric Edition (7th Ed.). Cergage Leaming Asia Pte Ltd.
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