The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Example 1

06_applications_of_the_integral-132.gif

Figure 6.3.3

Find the length of the curve

y = 2x3/2, 0 ≤ x ≤ 1

shown in Figure 6.3.3. We have

dy/dx = 3x1/2,06_applications_of_the_integral-130.gif

Put u = 1 + 9x. Then

06_applications_of_the_integral-131.gif

Sometimes a curve in the (x, y) plane is given by parametric equations x = f(t), y = g(t), c ≤ t ≤ d.


Last Update: 2006-11-22