Step-by-step Solution
Problem to solve:
$\int\sin\left(x\right)e^xdx$
Solving method
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(sin(x)e^x)dx. We can solve the integral \int e^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
$\frac{1}{2}e^x\sin\left(x\right)-\frac{1}{2}e^x\cos\left(x\right)+C_0$