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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

derivative of 7arcsin(x^3)

\frac{d}{d x} (7 arcsin (x^{3}))

derivative of f(x)= 1/((e^x)^3)derivative of

f (x) = \frac{1}{( e ^{x} ) ^{3}}

integral from 0 to 1 of (1+12x)/(1+3x)

\int_{0}^{1} \frac{1 + 12 x}{1 + 3 x} d x

(\partial)/(\partial x)(sin(2x-y))

\frac{\partial}{\partial x} (sin (2 x - y))

derivative of x^2-3x+1

\frac{d}{d x} (x^{2} - 3 x + 1)

Frequently Asked Questions (FAQ)

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