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

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

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integral from 0 to t of cos(t)

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

sin (t)

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

sin (t)

= sin (t)

\int_{0}^{π} sin^{4} (θ) d θ

\int_{3}^{11} 2 x + 3 d x

\int_{0}^{\frac{π}{3}} 3 sec^{2} (x) d x

\int_{\frac{π}{4}}^{\frac{π}{3}} sec^{2} (x) d x

\int_{- 3}^{1} (2 x - 3) d x

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