Learn Calculus 2 Through Example Problems

Practice Calculus 2 through step-by-step example problems covering integration techniques, applications of integration, differential equations, parametric and polar equations, and infinite sequences and series. Build your problem-solving skills and prepare for homework, quizzes, and exams.

Chapter 7

Chapter 7 - Techniques of Integration

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7.1 - Integration by Parts

Integration by parts example: evaluate the integral of x e^x dx.

Integration by parts example: evaluate the integral of x squared e^x dx.

Integration by parts example: evaluate the definite integral of arctan x from 0 to 1.

ntegration by parts example: evaluate the integral of x sin x dx.

Integration by parts example: evaluate the integral of ln x dx.

Integration by parts example: evaluate the integral of e^x cos x dx.

About Dr. Cheryl Hile

Understand The Math was created by Dr. Cheryl Hile, who earned a Ph.D. in Engineering Science and Applied Mathematics from Northwestern University. She has more than 25 years of experience teaching mathematics at the university level, including 20 years at Penn State. The lessons and guided notes on this site are based on materials she developed for her university courses.