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Step-by-step Solution

Calculate the integral of $\int\left(10+9x\right)^3dx$

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Step-by-step explanation

Problem to solve:

$\int_{ }^{ }\left(10+9x\right)^3dx$

Learn how to solve calculus problems step by step online.

$\begin{matrix}u=10+9x \\ du=9dx\end{matrix}$

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Calculate the integral of int((10+9*x)^3)dx. Solve the integral \int\left(10+9x\right)^3dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. Take the constant out of the integral.

Answer

$\frac{1}{36}\left(10+9x\right)^{4}+C_0$

Problem Analysis

$\int_{ }^{ }\left(10+9x\right)^3dx$

Main topic:

Calculus

Related formulas:

1. See formulas

Time to solve it:

~ 0.4 seconds