To help find the velocity of particles requires the evaluation of the indefinite integral of the acceleration function, a(t), with respect to time, t, i.e. v = [ a(t)dt. Evaluate the following indefinite integrals. Check your value for each integral by differentiating your answer. (a) 5t (8 cos 2t64 sin 4t + 27e¯³t)dt; (b) √(324t5 - 54t² + 5)(Int)² dt;
To help find the velocity of particles requires the evaluation of the indefinite integral of the acceleration function, a(t), with respect to time, t, i.e. v = [ a(t)dt. Evaluate the following indefinite integrals. Check your value for each integral by differentiating your answer. (a) 5t (8 cos 2t64 sin 4t + 27e¯³t)dt; (b) √(324t5 - 54t² + 5)(Int)² dt;
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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To help find the velocity of particles requires the evaluation of the indefinite integral
of the acceleration function, a(t), with respect to time, t, i.e.
v =
·
Evaluate the following indefinite integrals.
= √ a(t)dt.
Check your value for each integral by differentiating your answer.
(a)
5t (8 cos 2t64 sin 4t + 27e¯³t)dt;
(b)
√(324t5 - 54t² + 5)(Int)² dt;
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Transcribed Image Text:(c)
S
(d)
5t8-3 sin 6t+4e-6t
42+ 10t9+9 cos 6t- 12e-6t
15e6t-3e3t-504
dt;
(e3t+3)(e³t+7)
dt;
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