Final Answer
$3x^{3}+3x+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(9x^2+3\right)dx$
Specify the solving method
1
Expand the integral $\int\left(9x^2+3\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int9x^2dx+\int3dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int9x^2dx+\int3dx$
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(9x^2+3)dx. Expand the integral \int\left(9x^2+3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int9x^2dx results in: 3x^{3}. The integral \int3dx results in: 3x. Gather the results of all integrals.
Final Answer
$3x^{3}+3x+C_0$