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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{25}{3}

+1

Decimal Notation

8.33333 \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 = 20

\int_{- 2}^{3} x^{2} d x = \frac{35}{3}

= 20 - \frac{35}{3}

Simplify

20 - \frac{35}{3} : \frac{25}{3}

= \frac{25}{3}

Popular Examples

integral from 0 to 2pi of (sin^2(x))

\int_{0}^{2 π} (sin^{2} (x)) d x

integral from 1 to 5 of (x^3-1)/(x^3)

\int_{1}^{5} \frac{x ^{3} - 1}{x ^{3}} d x

integral from-2 to x of (14t^2-13t)

\int_{- 2}^{x} (14 t^{2} - 13 t) d t

integral from-1 to 1 of (3x^2-5x+1)/4

\int_{- 1}^{1} \frac{3 x ^{2} - 5 x + 1}{4} d x

integral from 0 to 2 of 5x(x^2+1)^2

\int_{0}^{2} 5 x (x^{2} + 1)^{2} 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 25/3