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Popular >

integral of (e^x+e)

Solution

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

Solution

e^{x} + e x + C

Solution steps

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

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

\int e d x = e x

= e^{x} + e x

Add a constant to the solution

= e^{x} + e x + C

Popular Examples

(\partial)/(\partial x)(-(x-2)(y-2)(x+y-3))

\frac{\partial}{\partial x} (- (x - 2) (y - 2) (x + y - 3))

integral of (4x)/(sqrt(3x^2-1))

\int \frac{4 x}{3 x ^{2} - 1} d x

(\partial)/(\partial x)(e^{-4x})

\frac{\partial}{\partial x} (e^{- 4 x})

limit as x approaches pi/2 of 4sec(x)

x \to \frac{π}{2} lim (4 sec (x))

derivative of (4x/((x-1)^2))

\frac{d}{d x} (\frac{4 x}{( x - 1 ) ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of (e^x+e) ?
The integral of (e^x+e) is e^x+ex+C