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Popular >

area y=20-x,y=sqrt(x),y=1

Solution

area

y = 20 - x, y = x, y = 1

Solution

\frac{63}{2}

+1

Solution steps

To find the intersection points solve

f_{i} (x) = f_{j} (x)

20 - x = x : x = 16

20 - x = 1 : x = 19

x = 1 : x = 1

= \int_{1}^{16} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{16}^{19} ∣ f_{1} (x) - f_{3} (x) ∣ d x

= \int_{1}^{16} x - 1 d x + \int_{16}^{19} ∣ 20 - x - 1 ∣ d x

\int_{1}^{16} x - 1 d x = 27

\int_{16}^{19} ∣ 20 - x - 1 ∣ d x = \frac{9}{2}

= 27 + \frac{9}{2}

Simplify

= \frac{63}{2}

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Frequently Asked Questions (FAQ)

What is area y=20-x,y=sqrt(x),y=1 ?
The answer to area y=20-x,y=sqrt(x),y=1 is 63/2