Final Answer
$\frac{1600}{3}$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{20}\frac{x^2}{5}dx$
Specify the solving method
1
Take the constant $\frac{1}{5}$ out of the integral
$\frac{1}{5}\int_{0}^{20} x^2dx$
Learn how to solve definite integrals problems step by step online.
$\frac{1}{5}\int_{0}^{20} x^2dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^2)/5 from 0 to 20. Take the constant \frac{1}{5} out of the integral. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 2. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$\frac{1600}{3}$