Find the integral of

Iyana Macdonald

Iyana Macdonald

Answered question

2022-04-04

Find the integral of 1 3  t cos ( t ) with respect to t.

Answer & Explanation

Abigailf91er

Abigailf91er

Beginner2022-04-05Added 13 answers

Simplify.

tcos(t)3dt

Since 13 is constant with respect to t, move 13 out of the integral.

13tcos(t)dt

Integrate by parts using the formula udv=uv-vdu, where u=t and dv=cos(t).

13(tsin(t)-sin(t)dt)

The integral of sin(t) with respect to t is -cos(t).

13(tsin(t)-(-cos(t)+C))

Rewrite 13(tsin(t)-(-cos(t)+C)) as 13(tsin(t)+cos(t))+C.

13(tsin(t)+cos(t))+C

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