Problem

Evaluate the integral. $ \displaystyle \int e^…

05:12

Problem 17 Medium Difficulty

Evaluate the integral.

$ \displaystyle \int e^{2 \theta} \sin 3 \theta d \theta $

Name: evaluate the integral displaystyle int e2 theta sin 3 theta d theta
Uploaded: 2018-01-31
Duration: 5 min 28 s
Channel: Numerade
Description: Evaluate the integral. $ \displaystyle \int e^{2 \theta} \sin 3 \theta d \theta $

Answer

$\frac{13}{4} I=\frac{1}{2} e^{2 \theta} \sin 3 \theta-\frac{3}{4} e^{2 \theta} \cos 3 \theta+C_{1} .$ Hence, $I=\frac{1}{13} e^{2 \theta}(2 \sin 3 \theta-3 \cos 3 \theta)+C,$ where $C=\frac{4}{13} C_{1}$

Topics

Integration Techniques

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Discussion

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Video Transcript

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