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Popular Calculus >

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

Solution

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

Solution

\frac{32}{3}

+1

Decimal

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}

Graph

Popular Examples

integral from 0 to 3 of 4-x

y^{''}+2y^'+14y=0,y(0)=1,y^'(0)=0

integral of 1/(4+x)

derivative of (x+1)/(2x^2+1)

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