## Step-by-step explanation

Problem to solve:

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$\int\left(a^2-100\right)da$

Learn how to solve calculus problems step by step online. Integrate int((a-10)*(a+10))da with respect to a. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2, where:<ul><li>The first term (a) is a.</li><li>The second term (b) is 10.</li></ul>Then:. The integral of the sum of two or more functions is equal to the sum of their integrals. The integral \int a^2da results in: \frac{a^{3}}{3}. The integral \int-100da results in: -100a.