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Popular >

integral from 0 to 1 of xe^x-x

Solution

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

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

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

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

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

= 1 - \frac{1}{2}

Simplify

1 - \frac{1}{2} : \frac{1}{2}

= \frac{1}{2}

Graph

Popular Examples

integral from 1 to 0 of e^{x^2-x}

\int_{1}^{0} e^{x^{2} - x} d x

integral from y to 8-y of 3/(x^2+y^2)

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

integral from 1 to 2 of 25(x^2+1)^7

\int_{1}^{2} 25 (x^{2} + 1)^{7} d x

integral from 2 to 3 of 5^{2x}

\int_{2}^{3} 5^{2 x} d x

integral from 0 to 4.3 of \sqrt[3]{3x+4}

\int_{0}^{4.3} 3 3 x + 4 d x

Frequently Asked Questions (FAQ)

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