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Popular >

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

Solution

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

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

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

\int_{- 2}^{2} 4 d x = 16

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

= 16 - \frac{16}{3}

Simplify

16 - \frac{16}{3} : \frac{32}{3}

= \frac{32}{3}

Popular Examples

taylor (1-x^2)^{1/2}taylor

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

derivative of 6x^{1/2}derivative of

6 x^{\frac{1}{2}}

integral from 0 to 6 of (1497.6)(x)

\int_{0}^{6} (1497.6) (x) d x

sum from n=1 to infinity of 7/(4^{n-1)}

n = 1 \sum \infty \frac{7}{4 ^{n - 1}}

integral of sqrt(x)-2

\int x - 2 d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (4-x^2) ?
The integral from-2 to 2 of (4-x^2) is 32/3