Question
Asked Dec 16, 2019
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Find the integral. (Use C for the constant of integration.)
[(++ 3)cos( 2 + 6t) at
(t + 3)cos( t2
6t) dt
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Find the integral. (Use C for the constant of integration.) [(++ 3)cos( 2 + 6t) at (t + 3)cos( t2 6t) dt

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Expert Answer

Step 1

To find the integral

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Sa+3) |(t + 3) cos(t? + 6t)dt

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Step 2

To begin with the integration, we use the substitution method.

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|(t + 3) cos(t? + 6t)dt t2 + 6t = u Differentiate with respect to t du (2t + 6) dt du 2(t + 3) dt 1 du (t + 3) : 2 dt %3D

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Step 3

Substitute in the...

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cos(u)du cos(u)du (sin u) + C 5 sin[t? + 6t] + C

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Tagged in

Math

Calculus