Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 392
thermore, the areaof ABCD has been denoted in (1) by rdrd0, i.e. by the productof AB and AD, for AB = dr and AD = rdO. Ex. Find the integral of /•- over the circle r = 2acos0. If we sum up first with respecl to r, the limits are 0 and 2 a cos 6,found from the equation of the boundary curve, and the… … Fig. 21G We might have solved this problem as follows: Since the Initial lineis a diameter of the circle and the values of r1 at corresponding points ofthe two semicircles are the same, it is evideni that the required integralis twice the integral taken over the semicircle in the first quadrant. By…
Geometry, Analytic · Calculus
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