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Popular >

integral from 0 to 2 of (4-x^2)

Solution

\int_{0}^{2} (4 - x^{2}) d x

Solution

\frac{16}{3}

+1

Decimal Notation

5.33333 \dots

Solution steps

\int_{0}^{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_{0}^{2} 4 d x - \int_{0}^{2} x^{2} d x

\int_{0}^{2} 4 d x = 8

\int_{0}^{2} x^{2} d x = \frac{8}{3}

= 8 - \frac{8}{3}

Simplify

8 - \frac{8}{3} : \frac{16}{3}

= \frac{16}{3}

Popular Examples

derivative of \sqrt[8]{x}+\sqrt[7]{x}derivative of

(\partial)/(\partial x)(sqrt((x+4)/(y+5)))

\frac{\partial}{\partial x} (\frac{x + 4}{y + 5})

y^'= y/(xln(x))

y^{^{'}} = \frac{y}{x ln ( x )}

tangent of 110x-16x^2 tangent of

110 x - 16 x^{2}

derivative of 16

\frac{d}{d x} (16)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (4-x^2) ?
The integral from 0 to 2 of (4-x^2) is 16/3