Solving: $\int\frac{y}{e^y}dy$
Exercise
$\int\frac{y}{e^y}dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(y/(e^y))dy. Rewrite the fraction \frac{y}{e^y} inside the integral as the product of two functions: y\frac{1}{e^y}. We can solve the integral \int y\frac{1}{e^y}dy by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.
Find the integral int(y/(e^y))dy
Final answer to the exercise
$\frac{-y-1}{e^y}+C_0$