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Popular >

integral of xe^z+y^2

Solution

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

Solution

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

Solution steps

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

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^{2} d z + \int x e^{z} d z

\int y^{2} d z = y^{2} z

\int x e^{z} d z = x e^{z}

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

What is the integral of xe^z+y^2 ?
The integral of xe^z+y^2 is y^2z+xe^z+C