Exercise
$\int e^{4x}\sin\left(-5x\right)dx$
Step-by-step Solution
Learn how to solve polynomial long division problems step by step online. Find the integral int(e^(4x)sin(-5x))dx. Use the odd-even identity \sin(-\theta)=-\sin(\theta). The integral of a function times a constant (-1) is equal to the constant times the integral of the function. We can solve the integral \int e^{4x}\sin\left(5x\right)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.
Find the integral int(e^(4x)sin(-5x))dx
Final answer to the exercise
$-\frac{4}{41}e^{4x}\sin\left(5x\right)+\frac{5}{41}e^{4x}\cos\left(5x\right)+C_0$