Final Answer
$2\pi x+\frac{x^{3}}{3}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(2\pi +x^2\right)dx$
Specify the solving method
1
Simplifying
$\int\left(2\pi +x^2\right)dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int\left(2\pi +x^2\right)dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(2*pi+x^2)dx. Simplifying. Expand the integral \int\left(2\pi +x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2\pi dx results in: 2\pi x. The integral \int x^2dx results in: \frac{x^{3}}{3}.
Final Answer
$2\pi x+\frac{x^{3}}{3}+C_0$