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Popular >

integral from 0 to 1 of e^x-ex

Solution

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

Solution

e - 1 - \frac{e}{2}

+1

Decimal

0.35914 \dots

Solution steps

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

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

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

= e - 1 - \frac{e}{2}

Graph

Popular Examples

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\int_{3}^{5} \frac{y - 3}{y - 2} d y

integral from 0 to pi of 2x*sin(x)

\int_{0}^{π} 2 x \cdot sin (x) d x

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\int_{0}^{2 π} cos (x) sin^{4} (x) d x

integral from 0 to 2 of x/((1+x^2)^3)

\int_{0}^{2} \frac{x}{( 1 + x ^{2} ) ^{3}} d x

integral from 1 to e of (3(ln(x))^2+x)/x

\int_{1}^{e} \frac{3 ( ln ( x ) ) ^{2} + x}{x} d x

Frequently Asked Questions (FAQ)

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