What is area y=sqrt(x-1),y=0,x=7 ?

The answer to area y=sqrt(x-1),y=0,x=7 is 4sqrt(6)

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area y=sqrt(x-1),y=0,x=7

area

y = x - 1, y = 0, x = 7

46

Decimal

9.79795 \dots

Solution steps

Apply the area formula:

\int_{1}^{7} x - 1 d x

Solve

\int_{1}^{7} x - 1 d x : 46

The area is:

= 46

x \to \infty lim (e^{x} - 1)

x \to - 7 lim (\frac{x ^{2} - 4}{7 - x})

\int 6 x e^{- 3 x} d x

\frac{9}{( 9 - x ^{6} ) ^{\frac{3}{2}}}

\int x 9 - x^{2} d x

What is area y=sqrt(x-1),y=0,x=7 ?
The answer to area y=sqrt(x-1),y=0,x=7 is 4sqrt(6)