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Popular Calculus >

area 2y=4x-x^2,2y=x-4

Solution

area

2 y = 4 x - x^{2}, 2 y = x - 4

Solution

\frac{125}{12}

+1

Decimal

10.41666 \dots

Solution steps

Isolate

y

for

2 y = 4 x - x^{2} : y = \frac{4 x - x ^{2}}{2}

Isolate

y

for

2 y = x - 4 : y = \frac{x - 4}{2}

Apply the area formula:

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

Solve

\int_{- 1}^{4} \frac{4 x - x ^{2}}{2} - \frac{x - 4}{2} d x : \frac{125}{12}

The area is:

= \frac{125}{12}

Graph

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Frequently Asked Questions (FAQ)

What is area 2y=4x-x^2,2y=x-4 ?
The answer to area 2y=4x-x^2,2y=x-4 is 125/12