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

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

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integral from 0 to x of cos(y)

\int_{0}^{x} cos (y) d y

sin (x)

Solution steps

\int_{0}^{x} cos (y) d y

Use the common integral:

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

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

Compute the boundaries:

sin (x)

= sin (x)

\int_{3}^{2} (8 x^{3} + 3 x^{2} + 6) d x

\int_{0}^{- 1} x^{2} d x

\int_{x}^{2} sin (x^{2}) d x

\int_{0}^{3} e^{0.25 x} d x

\int_{0}^{4} (y)^{2} d y

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