1.

The volume formed by the revolution of the loop of the curve y2(a + x) = x2 (a - x) about x-axis is

A. \(-\dfrac{2}{3}\pi a^3 \log \left(\dfrac{8}{e^2}\right)\)
B. \(\dfrac{2}{3}\pi a^3 \log \left(\dfrac{4}{e^2}\right)\)
C. \(-\dfrac{2}{3}\pi a^3 \log \left(\dfrac{4}{e^2}\right)\)
D. \(\dfrac{2}{3}\pi a^3 \log \left(\dfrac{8}{e^2}\right)\)
Answer» E.


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