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Volume of a rotating body, rotating y=a*x^2 along x-axis

ÀÛ¼ºÀÚ Uploader : chocopi ÀÛ¼ºÀÏ Upload Date: 2019-08-12º¯°æÀÏ Update Date: 2019-08-13Á¶È¸¼ö View : 257

The volume of the rotating body obtained by rotating y=a*x^2 along x-axis can be calculated as follows.

V = ¡ò¥ðy^2 dx = ¡ò¥ð(a^2*x^4) dx = a^2*¥ð¡òx^4 dx = (a^2*¥ð/5)*x^5

If the integral range is from x1 to x2,

V = (a^2*¥ð/5)*(x2^5 - x1^5)


*** Âü°í¹®Çå[References] ***

V = (a^2*¥ð/5)*(x2^5 - x1^5)
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