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Question Number 16747 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 26/Jun/17

Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 26/Jun/17

Commented by mrW1 last updated on 26/Jun/17

A=4∫_0 ^1 ^3 (√(1−x^3 ))dx  I think we can only solve with numerical  methods.  A≈4×0.88332=3.53328

$$\mathrm{A}=\mathrm{4}\int_{\mathrm{0}} ^{\mathrm{1}} \:^{\mathrm{3}} \sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{3}} }\mathrm{dx} \\ $$$$\mathrm{I}\:\mathrm{think}\:\mathrm{we}\:\mathrm{can}\:\mathrm{only}\:\mathrm{solve}\:\mathrm{with}\:\mathrm{numerical} \\ $$$$\mathrm{methods}. \\ $$$$\mathrm{A}\approx\mathrm{4}×\mathrm{0}.\mathrm{88332}=\mathrm{3}.\mathrm{53328} \\ $$

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