Problem

Evaluate the integral. $ \displaystyle \int_0^…

05:25

Problem 23 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int_0^{\frac{1}{2}} x \cos \pi x dx $

Answer

$\frac{1}{2 \pi}-\frac{1}{\pi^{2}}$ or $\frac{\pi-2}{2 \pi^{2}}$

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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Watch More Solved Questions in Chapter 7

Problem 1

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Problem 5

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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

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Michael J.

Idaho State University