Final Answer
$e^x\cdot x-e^x+C_0$
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Step-by-step Solution
Problem to solve:
$\int x e^xdx$
Specify the solving method
1
We can solve the integral $\int xe^xdx$ 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 integrals of exponential functions problems step by step online.
$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(xe^x)dx. We can solve the integral \int xe^xdx 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
$e^x\cdot x-e^x+C_0$