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Popular >

integral from 1 to 2 of x^2-x+3

Solution

\int_{1}^{2} x^{2} - x + 3 d x

Solution

\frac{23}{6}

+1

Decimal Notation

3.83333 \dots

Solution steps

\int_{1}^{2} x^{2} - x + 3 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} 3 d x

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

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

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

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

Simplify

\frac{7}{3} - \frac{3}{2} + 3 : \frac{23}{6}

= \frac{23}{6}

Popular Examples

integral from 6 to 100 of 0.5x^{-1.5}

\int_{6}^{100} 0.5 x^{- 1.5} d x

integral from 1 to 2 of sqrt(x^2-x)

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

integral from 0 to 10 of 9y^{1/3}

\int_{0}^{10} 9 y^{\frac{1}{3}} d y

integral from 2 to 4 of (x-2)(4-x)

\int_{2}^{4} (x - 2) (4 - x) d x

integral from 0 to 1-x of (x^2+y^2)

\int_{0}^{1 - x} (x^{2} + y^{2}) d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-x+3 ?
The integral from 1 to 2 of x^2-x+3 is 23/6