What is area f(x)=sqrt(x)+3,g(x)= 1/2 x+3 ?

The answer to area f(x)=sqrt(x)+3,g(x)= 1/2 x+3 is 4/3

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area f(x)=sqrt(x)+3,g(x)= 1/2 x+3

area

f (x) = x + 3, g (x) = \frac{1}{2} x + 3

\frac{4}{3}

Decimal

1.33333 \dots

Solution steps

Apply the area formula:

\int_{0}^{4} x + 3 - (\frac{1}{2} x + 3) d x

Solve

\int_{0}^{4} x + 3 - (\frac{1}{2} x + 3) d x : \frac{4}{3}

The area is:

= \frac{4}{3}

\int_{0}^{5} \frac{1}{( 5 - x ) ^{\frac{1}{3}}} d x

3 x^{4} - 7 ln (x)

\int \frac{x ^{4} + 2 x ^{3} - 3}{x ^{3}} d x

\frac{1}{( 1 - x ) ^{2}}

5 x y (\frac{d y}{d x}) = 1

What is area f(x)=sqrt(x)+3,g(x)= 1/2 x+3 ?
The answer to area f(x)=sqrt(x)+3,g(x)= 1/2 x+3 is 4/3