Exercise
$\int_{-\infty}^0\left(k-6x\right)e^{2x}dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function (k-6x)e^(2x) from -infinity to 0. We can solve the integral \int\left(k-6x\right)e^{2x}dx 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. Solve the integral to find v.
Integrate the function (k-6x)e^(2x) from -infinity to 0
Final answer to the exercise
$\frac{1}{2}ke^{2x}-3xe^{2x}+\frac{3}{2}e^{2x}$