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# Integrate ycos(y) from 0 to 4

### Formulas

$-4.6809$

## Step-by-step explanation

Problem

$\int_{0}^{4} y\cdot\cos\left(y\right)dy$
1

Use the integration by parts theorem to calculate the integral $\int y\cos\left(y\right)dy$, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

$-4.6809$
$\int_{0}^{4} y\cdot\cos\left(y\right)dy$

### Main topic:

Integration by parts

0.44 seconds