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Popular Calculus >

integral of (3x^2+y)

Solution

\int (3 x^{2} + y) d x

Solution

y x + x^{3} + C

Solution steps

\int 3 x^{2} + y d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y d x + \int 3 x^{2} d x

\int y d x = y x

\int 3 x^{2} d x = x^{3}

= y x + x^{3}

Add a constant to the solution

= y x + x^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (3x^2+y) ?
The integral of (3x^2+y) is yx+x^3+C