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Popular >

integral of e^{-5}

Solution

\int e^{- 5} d x

Solution

\frac{1}{e ^{5}} x + C

Solution steps

\int e^{- 5} d x

Integral of a constant:

\int a d x = a x

= e^{- 5} x

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{5}} x

Add a constant to the solution

= \frac{1}{e ^{5}} x + C

Popular Examples

integral from 6 to 8 of (58)/((x-6)^3)

\int_{6}^{8} \frac{58}{( x - 6 ) ^{3}} d x

derivative of sqrt(x^2-y^2)

\frac{d}{d x} (x^{2} - y^{2})

integral of (x^2-2x)/((x-1)^2)

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

limit as x approaches 2 of (2x-5)/(x+7)

x \to 2 lim (\frac{2 x - 5}{x + 7})

(\partial)/(\partial z)(4xy)

\frac{\partial}{\partial z} (4 x y)

Frequently Asked Questions (FAQ)

What is the integral of e^{-5} ?
The integral of e^{-5} is 1/(e^5)x+C