What is the integral from 0 to 3x of cos(t) ?

The integral from 0 to 3x of cos(t) is sin(3x)

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integral from 0 to 3x of cos(t)

\int_{0}^{3 x} cos (t) d t

sin (3 x)

Solution steps

\int_{0}^{3 x} cos (t) d t

Use the common integral:

\int cos (t) d t = sin (t)

= [sin (t)]_{0}^{3 x}

Compute the boundaries:

sin (3 x)

= sin (3 x)

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What is the integral from 0 to 3x of cos(t) ?
The integral from 0 to 3x of cos(t) is sin(3x)