Step-by-step Solution

Calculate the integral of $x\cos\left(x\right)$

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Step-by-step explanation

Problem to solve:

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

Learn how to solve calculus problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Calculate the integral of xcos(x). 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.

Final Answer

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

Main topic:

Calculus

Related formulas:

2. See formulas

Time to solve it:

~ 0.04 s (SnapXam)