Integral Calculus

The book Integral Calculus was written by author H B Henry Bayard Phillips Here you can read free online of Integral Calculus book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Integral Calculus a good or bad book?

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11. Find the volume generated by revolving one arch of the cycloid x = a (e/> — sin ), y = a (1 — cos ) about the a>axis. 12. Find the volume generated by revolving the curve x = a cos 3 , y = a sin 3 about the y-axis. 13. Find the volume generated by revolving the cardioid r = a (1 + cos 6) about the initial line. 14. Find the volume generated by revolving the cardioid r = a (1 + cos 6) about the line x = — -y 15. Find the volume generated by revolving the ellipse x 2 + xy + y 2 = 3 about the... z-axis. 16. Find the volume generated by revolving about the line y = x the part of the parabola x 2 + y 3 = a 3 cut off by the line x + y = a. 29. Volume of a Solid with Given Area of Section. — Divide the solid into slices by parallel planes. Let X be the area of section at distance x from a fixed point. The plate PQRS with lateral surface perpendicular to PQR has the volume PQR • ^x = X Ax. Art. 29 Volume of a Solid with Given Area of Section 57 If a and b are the limiting values of x, the sum of such plates is V b XAx.

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