Use integration by parts to evaluate the integral: fe-t sin( e-tsin(-10t)dt 1 - [ 101 sin(-10t) + 10e¹cos(-10t)] X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Use integration by parts to evaluate the integral:

\[
\int e^{-t} \sin(-10t) \, dt
\]

Given solution:

\[
\frac{1}{101} \left[ -e^{-t} \sin(-10t) + 10e^{-t} \cos(-10t) \right]
\]

Note: The given solution is marked incorrect, as indicated by a red box with a cross.
Transcribed Image Text:Use integration by parts to evaluate the integral: \[ \int e^{-t} \sin(-10t) \, dt \] Given solution: \[ \frac{1}{101} \left[ -e^{-t} \sin(-10t) + 10e^{-t} \cos(-10t) \right] \] Note: The given solution is marked incorrect, as indicated by a red box with a cross.
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