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Popular >

integral from-2 to 2 of 16-4x^2

Solution

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

Solution

\frac{128}{3}

+1

Decimal Notation

42.66666 \dots

Solution steps

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

\int_{- 2}^{2} 16 d x = 64

\int_{- 2}^{2} 4 x^{2} d x = \frac{64}{3}

= 64 - \frac{64}{3}

Simplify

64 - \frac{64}{3} : \frac{128}{3}

= \frac{128}{3}

Popular Examples

integral of-(ln(x))/(x^2)

\int - \frac{ln ( x )}{x ^{2}} d x

derivative of-72x derivative of

- 72 x

integral of (y^2)/(1-y)

\int \frac{y ^{2}}{1 - y} d y

tangent of f(x)=3x-2x^{-1/2}+1,\at x=1 tangent of

f (x) = 3 x - 2 x^{- \frac{1}{2}} + 1, at x = 1

10y^{''}+1000y=20cos(8t),y(0)=0,y^'(0)=0

10 y^{^{''}} + 1000 y = 20 cos (8 t), y (0) = 0, y^{^{'}} (0) = 0

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 16-4x^2 ?
The integral from-2 to 2 of 16-4x^2 is 128/3