y-x-3-y-0-and-x-a-Find-a-if-the-area-of-the-figure-bounded-by-straight-lines-is-64-

Question Number 147979 by mathdanisur last updated on 24/Jul/21

y = x^{3}; y = 0 a n d x = a

F i n d a i f t h e a r e a o f t h e f i g u r e

b o u n d e d b y s t r a i g h t l i n e s i s 64

Answered by iloveisrael last updated on 25/Jul/21

If a > 0 \Rightarrow 64 = \int_{0}^{a} x^{3} dx

\Rightarrow 256 = a^{4}; a = 4

If a < 0 \Rightarrow 64 = \int_{a}^{0} - x^{3} dx

\Rightarrow 256 = a^{4}; a = - 4

∴ a = \pm 4

Commented by mathdanisur last updated on 25/Jul/21

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