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Popular Calculus >

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

Graph

Popular Examples

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

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

integral of 2/(2x-3)

\int \frac{2}{2 x - 3} d x

(dy)/(dx)=2y+x^2+5

\frac{d y}{d x} = 2 y + x^{2} + 5

(dy)/(dx)+(4/x)y=4x+9

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

laplacetransform 2e^{4t}

l a pl a ce t r an s f or m 2 e^{4 t}

Frequently Asked Questions (FAQ)

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