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Popular >

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

Solution

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

Solution

\frac{40}{3}

+1

Decimal Notation

13.33333 \dots

Solution steps

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

\int_{1}^{3} 2 x^{2} d x = \frac{52}{3}

\int_{1}^{3} x d x = 4

= \frac{52}{3} - 4

Simplify

\frac{52}{3} - 4 : \frac{40}{3}

= \frac{40}{3}

Popular Examples

integral from 0 to 1 of (e^x+e^{3x})

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

integral from 1 to 7 of 7/(sqrt(x-6))

\int_{1}^{7} \frac{7}{x - 6} d x

integral from 0 to (3pi)/4 of cos(2t)

\int_{0}^{\frac{3 π}{4}} cos (2 t) d t

integral from 20 to 30 of k(x^2+y^2)

\int_{20}^{30} k (x^{2} + y^{2}) d y

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 2x^2-x ?
The integral from 1 to 3 of 2x^2-x is 40/3