Final Answer
$x^{3}y+2x+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(3x^2\cdot y+2\right)dx$
Specify the solving method
1
Expand the integral $\int\left(3x^2y+2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int3x^2ydx+\int2dx$
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$\int3x^2ydx+\int2dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(3x^2y+2)dx. Expand the integral \int\left(3x^2y+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3x^2ydx results in: x^{3}y. The integral \int2dx results in: 2x. Gather the results of all integrals.
Final Answer
$x^{3}y+2x+C_0$