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Popular >

integral from 1 to 2 of 4-x^2

Solution

\int_{1}^{2} 4 - x^{2} d x

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

\int_{1}^{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_{1}^{2} 4 d x - \int_{1}^{2} x^{2} d x

\int_{1}^{2} 4 d x = 4

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= 4 - \frac{7}{3}

Simplify

4 - \frac{7}{3} : \frac{5}{3}

= \frac{5}{3}

Popular Examples

integral of x^2*sin(4x)

\int x^{2} \cdot sin (4 x) d x

limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5}

(x, x^{5}) \to (0, 0) lim (\frac{x ^{5} y}{x ^{10} + y ^{5}})

limit as x approaches 2-of (6x)/(x-2)

x \to 2 - lim (\frac{6 x}{x - 2})

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\int \frac{1}{( x ^{2} - 1 ) ( x + 2 )} d x

integral of (ke^{-kx})

\int (k e^{- k x}) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 4-x^2 ?
The integral from 1 to 2 of 4-x^2 is 5/3