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Chapter 6: Q. 5 (page 573)

Write down definite integrals to express the given geometric quantities :

The arc length of the curve formed byy=fxona,b.

Short Answer

Expert verified

Arc length offxona,b=鈭�ab1+f'x2dx

Step by step solution

01

Given Information : 

Given that to assume that fxis continuous and differentiable, with a continuous derivative.

02

Definite integral formula for arc length :

The arc length of fxfrom x=ato x=bcan be represented as,

Arc Length=鈭�ab1+f'x2dx

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Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29鈥�52.

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dydx=2xy2,y(0)=4
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