Final Answer
$-x\cos\left(x\right)+\sin\left(x\right)+C_0$
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Step-by-step Solution
Problem to solve:
$\int x\sin\left(x\right)dx$
Specify the solving method
1
We can solve the integral $\int x\sin\left(x\right)dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula
$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve integral calculus problems step by step online.
$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve integral calculus problems step by step online. Find the integral int(sin(x)x)dx. We can solve the integral \int x\sin\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
$-x\cos\left(x\right)+\sin\left(x\right)+C_0$