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Popular >

integral from 1 to 2 of 2x-x^2

Solution

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= 3 - \frac{7}{3}

Simplify

3 - \frac{7}{3} : \frac{2}{3}

= \frac{2}{3}

Popular Examples

integral of 1/(x^2-2x+37)

\int \frac{1}{x ^{2} - 2 x + 37} d x

(dx)/(dt)+x^2=x

\frac{d x}{d t} + x^{2} = x

(\partial)/(\partial y)(ln(x+2y))

\frac{\partial}{\partial y} (ln (x + 2 y))

derivative of f(x)=ln^2(x)derivative of

f (x) = ln^{2} (x)

maclaurin 4/(1+x)maclaurin

\frac{4}{1 + x}

Frequently Asked Questions (FAQ)

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