Problem

Use integration by parts to prove the reduction f…

02:48

Problem 52 Medium Difficulty

Use integration by parts to prove the reduction formula.

$ \displaystyle \int x^n e^x dx = x^n e^x - n \displaystyle \int x^{n - 1} e^x dx $

Answer

$\int x^{n} e^{x} d x=x^{n} e^{x}-n \int x^{n-1} e^{x} d x$

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Discussion

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Video Transcript

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Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Top Calculus 2 / BC Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University