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Popular >

integral from 2 to 3 of (4-x^2)

Solution

\int_{2}^{3} (4 - x^{2}) d x

Solution

- \frac{7}{3}

+1

Decimal

- 2.33333 \dots

Solution steps

\int_{2}^{3} 4 - x^{2} 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} 4 d x - \int_{2}^{3} x^{2} d x

\int_{2}^{3} 4 d x = 4

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

= 4 - \frac{19}{3}

Simplify

4 - \frac{19}{3} : - \frac{7}{3}

= - \frac{7}{3}

Graph

Popular Examples

integral from 1 to 2 of (x^2)/4

\int_{1}^{2} \frac{x ^{2}}{4} d x

integral from-3 to 4 of-x+1

\int_{- 3}^{4} - x + 1 d x

integral from y to 1 of 1/y

\int_{y}^{1} \frac{1}{y} d y

integral from 0 to 1 of 1/(9x^2+6x+1)

\int_{0}^{1} \frac{1}{9 x ^{2} + 6 x + 1} d x

integral from 2 to 6 of 1/(sqrt(5x+6))

\int_{2}^{6} \frac{1}{5 x + 6} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (4-x^2) ?
The integral from 2 to 3 of (4-x^2) is -7/3