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Popular >

integral from 1 to 2 of x^2-x

Solution

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

Solution

\frac{5}{6}

+1

Decimal Notation

0.83333 \dots

Solution steps

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

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

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

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

Simplify

\frac{7}{3} - \frac{3}{2} : \frac{5}{6}

= \frac{5}{6}

Popular Examples

derivative of (x^2-6x/(x+1))

\frac{d}{d x} (\frac{x ^{2} - 6 x}{x + 1})

integral of (3x^4+x^2+2)

\int (3 x^{4} + x^{2} + 2) d x

(\partial)/(\partial x)(12x^2y^5+x^2y^2)

\frac{\partial}{\partial x} (12 x^{2} y^{5} + x^{2} y^{2})

limit as x approaches 0 of x^4f(x)

x \to 0 lim (x^{4} f (x))

integral of 1/(x^2)(1+1/x)^{1/2}

\int \frac{1}{x ^{2}} (1 + \frac{1}{x})^{\frac{1}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-x ?
The integral from 1 to 2 of x^2-x is 5/6