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Popular >

integral from 1 to 2 of e^x-x

Solution

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

Solution

e^{2} - e - \frac{3}{2}

+1

Decimal

3.17077 \dots

Solution steps

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

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

\int_{1}^{2} x d x = \frac{3}{2}

= e^{2} - e - \frac{3}{2}

Graph

Popular Examples

integral from x to 8 of 1/(sqrt(1+t^2))

\int_{x}^{8} \frac{1}{1 + t ^{2}} d t

integral from 0 to 10 of xe^{-2x}

\int_{0}^{10} x e^{- 2 x} d x

integral from 0 to 2 of x/(x-2)

\int_{0}^{2} \frac{x}{x - 2} d x

integral from 1 to e^3 of (4ln(x))/x

\int_{1}^{e^{3}} \frac{4 ln ( x )}{x} d x

integral from-1 to 3 of 3x^2+8x

\int_{- 1}^{3} 3 x^{2} + 8 x d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of e^x-x ?
The integral from 1 to 2 of e^x-x is e^2-e-3/2