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Popular Calculus >

area y=|x|,y=x^2-1

Solution

area

y = ∣ x ∣, y = x^{2} - 1

Solution

\frac{7 + 5 5}{6}

+1

Decimal

3.03005 \dots

Solution steps

Apply the area formula:

\int_{\frac{- 1 - 5}{2}}^{\frac{1 + 5}{2}} ∣ x ∣ - (x^{2} - 1) d x

Solve

\int_{\frac{- 1 - 5}{2}}^{\frac{1 + 5}{2}} ∣ x ∣ - (x^{2} - 1) d x : \frac{7 + 5 5}{6}

The area is:

= \frac{7 + 5 5}{6}

Graph

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Frequently Asked Questions (FAQ)

What is area y=|x|,y=x^2-1 ?
The answer to area y=|x|,y=x^2-1 is (7+5sqrt(5))/6