# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\left(a-10\right)\left(a+10\right)da$

Learn how to solve calculus problems step by step online.

$\begin{matrix}u=a-10 \\ du=da\end{matrix}$

Learn how to solve calculus problems step by step online. Integrate int((a-10)*(a+10))da with respect to a. Solve the integral \int\left(a-10\right)\left(a+10\right)da applying u-substitution. Let u and du be. Rewriting a in terms of u. Substituting u, da and a in the integral and simplify. The integral of the sum of two or more functions is equal to the sum of their integrals.

$10a^2+10\left(-20a+100\right)+\frac{\left(a-10\right)^{3}}{3}+C_0$

### Problem Analysis

$\int\left(a-10\right)\left(a+10\right)da$

Calculus

~ 0.07 seconds