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Popular >

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

Solution

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

Solution

- \frac{32}{3}

+1

Decimal

- 10.66666 \dots

Solution steps

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

\int_{- 4}^{4} 4 d x = 32

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

= 32 - \frac{128}{3}

Simplify

32 - \frac{128}{3} : - \frac{32}{3}

= - \frac{32}{3}

Graph

Popular Examples

integral of (x^{4/3}+4x^{1/3})

\int (x^{\frac{4}{3}} + 4 x^{\frac{1}{3}}) d x

limit as x approaches 3 of cos(pi(x))+6

x \to 3 lim (cos (π (x)) + 6)

(3x^2+9xy+5y^2)dx-(6x^2+4xy)dy=0

(3 x^{2} + 9 x y + 5 y^{2}) d x - (6 x^{2} + 4 x y) d y = 0

integral of x(5-x)^2

\int x (5 - x)^{2} d x

derivative of 8tan(x)

\frac{d}{d x} (8 tan (x))

Frequently Asked Questions (FAQ)

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