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Popular >

integral of e^{-x}-1

Solution

\int e^{- x} - 1 d x

Solution

- e^{- x} - x + C

Solution steps

\int e^{- x} - 1 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 1 d x

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

\int 1 d x = x

= - e^{- x} - x

Add a constant to the solution

= - e^{- x} - x + C

Popular Examples

(\partial)/(\partial x)(-x^2)

\frac{\partial}{\partial x} (- x^{2})

(\partial ^2)/(\partial r\partial θ)(r(θ)*sin(θ))

\frac{\partial ^{2}}{\partial r \partial θ} (r (θ) \cdot sin (θ))

tangent of y=2x^4,(-2,32)tangent of

y = 2 x^{4}, (- 2, 32)

limit as x approaches 2 of-x

x \to 2 lim (- x)

derivative of (5x^2+25x/(5x))

\frac{d}{d x} (\frac{5 x ^{2} + 25 x}{5 x})

Frequently Asked Questions (FAQ)

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