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Popular >

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

Solution

area

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

Isolate

y

for

2 x + y = 4 : y = 4 - 2 x

Apply the area formula:

\int_{0}^{2} 4 - x^{2} - (4 - 2 x) d x

Solve

\int_{0}^{2} 4 - x^{2} - (4 - 2 x) d x : \frac{4}{3}

The area is:

= \frac{4}{3}

Popular Examples

f (x) = x^{2} sin (x)

integral of (2x+1)/(x^2+x-1)

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

limit as x approaches 3+of (2x)/(x-3)

x \to 3 + lim (\frac{2 x}{x - 3})

(\partial)/(\partial x)(e^{-3x}sin(2t-3x))

\frac{\partial}{\partial x} (e^{- 3 x} sin (2 t - 3 x))

slope of 1/(4+3x)slope

\frac{1}{4 + 3 x}

Frequently Asked Questions (FAQ)

What is area y=4-x^2,2x+y=4 ?
The answer to area y=4-x^2,2x+y=4 is 4/3