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Popular >

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

Solution

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

Solution

22

Solution steps

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

\int_{1}^{3} 3 x^{2} d x = 26

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

= 26 - 4

Simplify

= 22

Popular Examples

integral from 1 to 4 of e^{-x}x-e^{-x}

\int_{1}^{4} e^{- x} x - e^{- x} d x

integral from-42.25 to 0 of (13/2 x)^2

\int_{- 42.25}^{0} (\frac{13}{2} x)^{2} d x

integral from 0 to x of 1/((1-x)^{2/3)}

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

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

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

integral from-1 to 2 of 2x(x^2+1)^4

\int_{- 1}^{2} 2 x (x^{2} + 1)^{4} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x^2-x) ?
The integral from 1 to 3 of (3x^2-x) is 22