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Popular Calculus >

integral of 6xyz+e^x

Solution

\int 6 x yz + e^{x} d y

Solution

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

Solution steps

\int 6 x yz + e^{x} 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^{x} d y + \int 6 x zy d y

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

\int 6 x zy d y = 3 x z y^{2}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6xyz+e^x ?
The integral of 6xyz+e^x is e^xy+3xzy^2+C