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Popular >

integral of e^x+y

Solution

\int e^{x} + y d x

Solution

y x + e^{x} + C

Solution steps

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

\int y d x = y x

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

= y x + e^{x}

Add a constant to the solution

= y x + e^{x} + C

Graph

Popular Examples

integral of cos(r^2)r

\int cos (r^{2}) r d r

limit as x approaches 3 of (x-3)/(x+6)

x \to 3 lim (\frac{x - 3}{x + 6})

derivative of y=10^{3x}derivative of

y = 1 0^{3 x}

y^'=4-9x^2-6x^5

y^{^{'}} = 4 - 9 x^{2} - 6 x^{5}

integral from 0 to 2 of 8x-4x^2

\int_{0}^{2} 8 x - 4 x^{2} d x

Frequently Asked Questions (FAQ)

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