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\int x\cdot \cos\left(x\right)dx

Integral of xcos(x)

Answer

$\cos\left(x\right)+x\sin\left(x\right)+C_0$

Step-by-step explanation

Problem

$\int x\cdot \cos\left(x\right)dx$
1

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

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

Unlock this step-by-step solution!

Answer

$\cos\left(x\right)+x\sin\left(x\right)+C_0$

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$\int x\cdot \cos\left(x\right)dx$

Main topic:

Integration by parts

Used formulas:

3. See formulas

Time to solve it:

~ 0.52 seconds