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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

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\int sin (x) sin (2 cos (x)) d x

integral of (cos^5(2x))/(sqrt(sin(2x)))

\int \frac{cos ^{5} ( 2 x )}{sin ( 2 x )} d x

integral of sin^2(x)cos(x)integral

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integral of (x^2)/(5x^2+12)

\int \frac{x ^{2}}{5 x ^{2} + 12} d x

integral of 5e^{-0.7x}

\int 5 e^{- 0.7 x} 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