微積分 calculus volume 20 pts
2009-03-06 1:29 am
Find the colume of the solid obtained by rotating the region bounded by the curves: y1 = ( 25-x^2 ) ^ 1/2 y2 = 3 about x-axis. Use the washer method. Set up the integral using standard calculus notation. You may use technology to evaluate the integral.
回答 (1)
2009-03-06 5:33 am
✔ 最佳答案
V=pi [ In(0->3) y1^2 dx]
=pi[ In (0->3) 25-x^2 dx]
=pi[25x-x^3/3](0->3)
=pi(25*3-3^3/3)
=66pi//
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