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Popular >

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

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

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

= 4 - \frac{8}{3}

Simplify

4 - \frac{8}{3} : \frac{4}{3}

= \frac{4}{3}

Popular Examples

(\partial)/(\partial z)(x/z+y/z)

\frac{\partial}{\partial z} (\frac{x}{z} + \frac{y}{z})

integral of (x^2-3x+4)

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

integral of-tan(x)sin(x)

\int - tan (x) sin (x) d x

4xy^'-16y=x^{-7},y(1)=7

4 x y^{^{'}} - 16 y = x^{- 7}, y (1) = 7

(\partial)/(\partial y)(3x^2-2xy-y)

\frac{\partial}{\partial y} (3 x^{2} - 2 x y - y)

Frequently Asked Questions (FAQ)

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