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Popular >

integral from-1 to 3 of |4-x^2|

Solution

\int_{- 1}^{3} 4 - x^{2} d x

Solution

\frac{34}{3}

+1

Decimal Notation

11.33333 \dots

Solution steps

\int_{- 1}^{3} 4 - x^{2} d x

Eliminate Absolutes

= \int_{- 1}^{2} 4 - x^{2} d x + \int_{2}^{3} - 4 + x^{2} d x

\int_{- 1}^{2} 4 - x^{2} d x = 9

\int_{2}^{3} - 4 + x^{2} d x = \frac{7}{3}

= 9 + \frac{7}{3}

Simplify

9 + \frac{7}{3} : \frac{34}{3}

= \frac{34}{3}

Popular Examples

area y= 3/x ,y=7x,y= 1/7 x area

y = \frac{3}{x}, y = 7 x, y = \frac{1}{7} x

derivative of f(x)=((x^2-6x))/(x+1)derivative of

f (x) = \frac{( x ^{2} - 6 x )}{x + 1}

derivative of e^{x/a}

\frac{d}{d x} (e^{\frac{x}{a}})

integral of xe^{-1/2 x}

\int x e^{- \frac{1}{2} x} d x

limit as x approaches 2 of 10^{x^2-4x}

x \to 2 lim (1 0^{x^{2} - 4 x})

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |4-x^2| ?
The integral from-1 to 3 of |4-x^2| is 34/3