Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
Learn how to solve integrals of exponential functions problems step by step online.
$\int xe^{-x}\sin\left(x\right)dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((sin(x)x)/(e^x))dx. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. We can solve the integral \int xe^{-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.