Final Answer
$\frac{a^{3}}{3}-100a+C_0$
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Step-by-step Solution
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1
Rewrite the integrand $\left(a-10\right)\left(a+10\right)$ in expanded form
$\int\left(a^2-100\right)da$
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$\int\left(a^2-100\right)da$
Learn how to solve integral calculus problems step by step online. Find the integral int((a-10)(a+10))da. Rewrite the integrand \left(a-10\right)\left(a+10\right) in expanded form. Expand the integral \int\left(a^2-100\right)da into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int a^2da results in: \frac{a^{3}}{3}. The integral \int-100da results in: -100a.
Final Answer
$\frac{a^{3}}{3}-100a+C_0$