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Popular >

integral from-1 to 1 of e^x-1

Solution

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

Solution

e - \frac{1}{e} - 2

+1

Decimal Notation

0.35040 \dots

Solution steps

\int_{- 1}^{1} 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_{- 1}^{1} e^{x} d x - \int_{- 1}^{1} 1 d x

\int_{- 1}^{1} e^{x} d x = e - \frac{1}{e}

\int_{- 1}^{1} 1 d x = 2

= e - \frac{1}{e} - 2

Popular Examples

limit as x approaches-1+of x^2-3

x \to - 1 + lim (x^{2} - 3)

xydx+(1+y)sqrt(1)-x^2dy=0

x y d x + (1 + y) 1 - x^{2} d y = 0

integral of (6x)/(e^{3x^2)}

\int \frac{6 x}{e ^{3 x^{2}}} d x

area (x^2)/4-1, x/4+4,[-4,5]area

\frac{x ^{2}}{4} - 1, \frac{x}{4} + 4, [- 4, 5]

y^'+y-4sin(x)=0

y^{^{'}} + y - 4 sin (x) = 0

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of e^x-1 ?
The integral from-1 to 1 of e^x-1 is e-1/e-2