Final Answer
$rx+\frac{-x^{3}}{3}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(\sqrt{r^2}-x^2\right)dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int rdx+\int-x^2dx$
Learn how to solve integrals with radicals problems step by step online.
$\int rdx+\int-x^2dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(r^2^1/2-x^2)dx. Simplify the expression inside the integral. The integral \int rdx results in: rx. The integral \int-x^2dx results in: \frac{-x^{3}}{3}. Gather the results of all integrals.
Final Answer
$rx+\frac{-x^{3}}{3}+C_0$