What is the integral from 0 to xz of cos(y/z) ?

The integral from 0 to xz of cos(y/z) is zUndefined

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integral from 0 to xz of cos(y/z)

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

z Undefined

Solution steps

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

Apply u-substitution

: \int_{0}^{x} cos (u) z d u

= \int_{0}^{x} cos (u) z d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= z \cdot \int_{0}^{x} cos (u) d u

Use the common integral:

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

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

Compute the boundaries:

Undefined

= z Undefined

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\int_{0}^{0.5} sin (x) d x

What is the integral from 0 to xz of cos(y/z) ?
The integral from 0 to xz of cos(y/z) is zUndefined