QuestionTo help find the velocity of particles requires the evaluation of the indefinite integralof 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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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;

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 76E

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Step 1: Recall some formulas.

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Step 2: Find Integral and verify it for question (a)

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Step 3: Find Integral and verify it for question (b)

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(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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