What is the integral from 0 to x/2 of cos(x) ?

The integral from 0 to x/2 of cos(x) is sin(x/2)

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integral from 0 to x/2 of cos(x)

\int_{0}^{\frac{x}{2}} cos (x) d x

sin (\frac{x}{2})

Solution steps

\int_{0}^{\frac{x}{2}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0}^{\frac{x}{2}}

Compute the boundaries:

sin (\frac{x}{2})

= sin (\frac{x}{2})

What is the integral from 0 to x/2 of cos(x) ?
The integral from 0 to x/2 of cos(x) is sin(x/2)