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Popular >

integral from 0 to 1 of e^x-xe^x

Solution

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

Solution

e - 2

+1

Decimal Notation

0.71828 \dots

Solution steps

\int_{0}^{1} e^{x} - x e^{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_{0}^{1} e^{x} d x - \int_{0}^{1} x e^{x} d x

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

\int_{0}^{1} x e^{x} d x = 1

= e - 1 - 1

Simplify

= e - 2

Popular Examples

integral from x to 0.5 of 8

\int_{x}^{0.5} 8 d y

derivative of x/((x-1^2))

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

taylor sqrt(1+x),0 taylor

1 + x, 0

limit as x approaches 1 of e^{6x^2-6x}

x \to 1 lim (e^{6 x^{2} - 6 x})

derivative of (120x^2)/(x^2+4)derivative of

\frac{120 x ^{2}}{x ^{2} + 4}

Frequently Asked Questions (FAQ)

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