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Popular >

integral from 2 to 3 of (3x^2+2x)

Solution

\int_{2}^{3} (3 x^{2} + 2 x) d x

Solution

24

Solution steps

\int_{2}^{3} 3 x^{2} + 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_{2}^{3} 3 x^{2} d x + \int_{2}^{3} 2 x d x

\int_{2}^{3} 3 x^{2} d x = 19

\int_{2}^{3} 2 x d x = 5

= 19 + 5

Simplify

= 24

Graph

Popular Examples

integral from 1 to 6 of ((3x^2+2x+1)/x)

\int_{1}^{6} (\frac{3 x ^{2} + 2 x + 1}{x}) d x

integral from 0 to pi/4 of 2cos^2(x)

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

integral from-3 to 3 of cos^2((pix)/2)

\int_{- 3}^{3} cos^{2} (\frac{π x}{2}) d x

integral from x to y of (2t-3)

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

integral from 0 to 30 of te^{-st}

\int_{0}^{30} t e^{- s t} d t

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (3x^2+2x) ?
The integral from 2 to 3 of (3x^2+2x) is 24