What is area y=sqrt(x+4),y= x/2+2 ?

The answer to area y=sqrt(x+4),y= x/2+2 is 4/3

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area y=sqrt(x+4),y= x/2+2

area

y = x + 4, y = \frac{x}{2} + 2

\frac{4}{3}

Decimal Notation

1.33333 \dots

Solution steps

Apply the area formula:

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

Solve

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

The area is:

= \frac{4}{3}

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\frac{d}{d x} (2 x x + \frac{1}{x})

\int x^{2} + 7 d x

What is area y=sqrt(x+4),y= x/2+2 ?
The answer to area y=sqrt(x+4),y= x/2+2 is 4/3