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Popular Calculus >

integral of ye^x+3

Solution

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

Solution

3 x + y e^{x} + C

Solution steps

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

\int 3 d x = 3 x

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

= 3 x + y e^{x}

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of ye^x+3 ?
The integral of ye^x+3 is 3x+ye^x+C