## Step-by-step explanation

Problem to solve:

Learn how to solve calculus problems step by step online.

$\begin{matrix}u=4x^3-5 \\ du=12x^{2}dx\end{matrix}$

Learn how to solve calculus problems step by step online. Integrate int(8*x^2*(4*x^3-5)^4)dx with respect to x. Solve the integral \int8x^2\left(4x^3-5\right)^4dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. The integral of a constant by a function is equal to the constant multiplied by the integral of the function.