Step-by-step Solution

Calculate the integral of $\int8x^2\left(4x^3-5\right)^4dx$

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Step-by-step explanation

Problem to solve:

$\int8x^2\left(4x^3-5\right)^4dx$

Learn how to solve calculus problems step by step online.

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

Unlock this full step-by-step solution!

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.

Final Answer

$\frac{2}{15}\left(4x^3-5\right)^{5}+C_0$

Problem Analysis

$\int8x^2\left(4x^3-5\right)^4dx$

Main topic:

Calculus

Related formulas:

2. See formulas

Time to solve it:

~ 0.07 seconds