Step-by-step Solution

Integrate $\int\left(a-10\right)\left(a+10\right)da$ with respect to a

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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.

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

Unlock this full step-by-step solution!

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.

Final Answer

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

Problem Analysis

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

Main topic:

Calculus

Related formulas:

3. See formulas

Time to solve it:

~ 0.07 seconds