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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

\frac{d}{d t} (1 + 2 t)

derivative of x^5-4x^3+2x-3

\frac{d}{d x} (x^{5} - 4 x^{3} + 2 x - 3)

derivative of (x^2+xe^x)

\frac{d}{d x} ((x^{2} + x) e^{x})

y^3dx=2x^3dy-2x^2ydx

y^{3} d x = 2 x^{3} d y - 2 x^{2} y d x

integral of sqrt(1+(16)/(9*x^{2/3))}

\int 1 + \frac{16}{9 \cdot x ^{\frac{2}{3}}} d x

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