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Popular >

integral of e^x+5

Solution

\int e^{x} + 5 d x

Solution

e^{x} + 5 x + C

Solution steps

\int e^{x} + 5 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 5 d x

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

\int 5 d x = 5 x

= e^{x} + 5 x

Add a constant to the solution

= e^{x} + 5 x + C

Popular Examples

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(\partial)/(\partial x)(8xy^2)

\frac{\partial}{\partial x} (8 x y^{2})

integral of pi(e^{-x})^2

\int π (e^{- x})^{2} d x

xcos(y/x)(dy)/(dx)=ycos(y/x)-x

x cos (\frac{y}{x}) \frac{d y}{d x} = y cos (\frac{y}{x}) - x

(\partial)/(\partial x)(2/(x^2)+y)

\frac{\partial}{\partial x} (\frac{2}{x ^{2}} + y)

Frequently Asked Questions (FAQ)

What is the integral of e^x+5 ?
The integral of e^x+5 is e^x+5x+C