Exercise
$\int\left(x^3+4\right)cosh\left(4x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((x^3+4)cosh(4x))dx. We can solve the integral \int\left(x^3+4\right)\mathrm{cosh}\left(4x\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((x^3+4)cosh(4x))dx
Final answer to the exercise
$\frac{1}{4}\left(x^3+4\right)\mathrm{sinh}\left(4x\right)-\frac{3}{128}\mathrm{cosh}\left(4x\right)+\frac{3}{32}x\mathrm{sinh}\left(4x\right)-\frac{3}{16}x^{2}\mathrm{cosh}\left(4x\right)+C_0$