x = ln t, y = t2 - 2, t > 0
(a) an equation of the normal to C at the point where t = 3 ,
(b) a cartesian equation of C.
The finite area R, shown in Figure 1, is bounded by C, the x-axis, the line x = ln 2 and the
line x = ln 4 . The area R is rotated through 360° about the x-axis.
(c) Use calculus to find the exact volume of the solid generated.
(b) Use the trapezium rule, with all of the values of y in the completed table, to obtain an estimate of I, giving your answer to 3 decimal places.
(c) Using the substitution (u - 4)2 + 1, or otherwise, and integrating, find the exact value of I.7 (a)(b) Trapezium Rule
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