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Popular >

integral from-1 to 3 of e^x-1

Solution

\int_{- 1}^{3} e^{x} - 1 d x

Solution

e^{3} - \frac{1}{e} - 4

+1

Decimal

15.71765 \dots

Solution steps

\int_{- 1}^{3} 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}^{3} e^{x} d x - \int_{- 1}^{3} 1 d x

\int_{- 1}^{3} e^{x} d x = e^{3} - \frac{1}{e}

\int_{- 1}^{3} 1 d x = 4

= e^{3} - \frac{1}{e} - 4

Graph

Popular Examples

integral from 0 to x^2 of e^t

\int_{0}^{x^{2}} e^{t} d t

integral from 0 to 1 of (x-y)^2

\int_{0}^{1} (x - y)^{2} d x

integral from 0 to 1 of (x^4)/2

\int_{0}^{1} \frac{x ^{4}}{2} d x

integral from-1 to 3 of 8x

\int_{- 1}^{3} 8 x d x

integral from 3 to 6 of (3-x)(x-6)

\int_{3}^{6} (3 - x) (x - 6) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of e^x-1 ?
The integral from-1 to 3 of e^x-1 is e^3-1/e-4