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Popular Calculus >

integral of 3x^2+e^y

Solution

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

Solution

e^{y} + 3 x^{2} y + C

Solution steps

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

Apply the Sum Rule:

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

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

\int e^{y} d y = e^{y}

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

= e^{y} + 3 x^{2} y

Add a constant to the solution

= e^{y} + 3 x^{2} y + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3x^2+e^y ?
The integral of 3x^2+e^y is e^y+3x^2y+C