Exercise
$\int\left(4x+1\right)\cos\left(5x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((4x+1)cos(5x))dx. We can solve the integral \int\left(4x+1\right)\cos\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. Now, identify dv and calculate v. Solve the integral to find v.
Find the integral int((4x+1)cos(5x))dx
Final answer to the exercise
$\frac{4}{5}x\sin\left(5x\right)+\frac{1}{5}\sin\left(5x\right)+\frac{4}{25}\cos\left(5x\right)+C_0$