Geometry problems Use a table of integrals to

Chapter 7, Problem 38E

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QUESTION:

Geometry problems Use a table of integrals to solve the following problems.

Find the area of the region bounded by the graph of \(y=\frac{1}{\sqrt{x^{2}-2 x+2}}\) and the x-axis between x=0 and x=3.

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QUESTION:

Geometry problems Use a table of integrals to solve the following problems.

Find the area of the region bounded by the graph of \(y=\frac{1}{\sqrt{x^{2}-2 x+2}}\) and the x-axis between x=0 and x=3.

ANSWER:

Problem 38EGeometry problems Use a table of integrals to solve the following problems.Find the area of the region bounded by the graph of and the between and .SolutionStep 1SolutionStep 1In this problem we have to find the area of the solid bounded by the region , and the x-axis between and We shall find the area by the following method. “If f(x) is a continuous and nonnegative function of x on the closed interval [a, b], then the area of the region bounded by the graph of f, the x-axis and the vertical lines x=a and x=b is given by: ”

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