What is area y=sqrt(x-1),y=0,x=8 ?

The answer to area y=sqrt(x-1),y=0,x=8 is (14sqrt(7))/3

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area y=sqrt(x-1),y=0,x=8

area

y = x - 1, y = 0, x = 8

\frac{14 7}{3}

Decimal Notation

12.34683 \dots

Solution steps

Apply the area formula:

\int_{1}^{8} x - 1 d x

Solve

\int_{1}^{8} x - 1 d x : \frac{14 7}{3}

The area is:

= \frac{14 7}{3}

\frac{d y}{d x} = x y cos^{2} (y)

7 \frac{d y}{d x} + 63 y = 9

\frac{\partial}{\partial x} (15 - x^{2} - 2 y^{2})

(\frac{d y}{d x}) = \frac{( x ^{2} ( y ^{5} - 2 ) )}{y ^{4}}

\frac{d y}{d x} = \frac{5 ( 3 - y ) ^{2}}{( 3 - x ) ^{2}}, y (- 2) = - 5

What is area y=sqrt(x-1),y=0,x=8 ?
The answer to area y=sqrt(x-1),y=0,x=8 is (14sqrt(7))/3