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Popular >

integral from 0 to 1 of e^y-1

Solution

\int_{0}^{1} e^{y} - 1 d y

Solution

e - 2

+1

Decimal

0.71828 \dots

Solution steps

\int_{0}^{1} e^{y} - 1 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} e^{y} d y - \int_{0}^{1} 1 d y

\int_{0}^{1} e^{y} d y = e - 1

\int_{0}^{1} 1 d y = 1

= e - 1 - 1

Simplify

= e - 2

Graph

Popular Examples

integral from 0 to 1 of cos(x^4)

\int_{0}^{1} cos (x^{4}) d x

integral from-6 to-3 of (u-3/(u^2))

\int_{- 6}^{- 3} (u - \frac{3}{u ^{2}}) d u

integral from 0 to L/2 of (2x)/L sin((npix)/L)

\int_{0}^{\frac{L}{2}} \frac{2 x}{L} sin (\frac{nπ x}{L}) d x

integral from 0 to pi/2 of cos(x)cos(2x)

\int_{0}^{\frac{π}{2}} cos (x) cos (2 x) d x

integral from 0 to 4 of 1/(1+t)

\int_{0}^{4} \frac{1}{1 + t} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of e^y-1 ?
The integral from 0 to 1 of e^y-1 is e-2