# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

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

Solving method

Learn how to solve calculus problems step by step online.

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

Learn how to solve calculus problems step by step online. Find the integral int(x*cos(x))dx. We can solve the integral \int x\cos\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.

$x\sin\left(x\right)+\cos\left(x\right)+C_0$
$\int x\cdot\cos\left(x\right)dx$

Calculus

~ 0.04 s