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Calculus Level 3

Find the area bounded by the curve f ( x ) = max ⁡ ( 4 − x 2 , ∣ x − 2 ∣ , ( x − 2 ) 1 3 ) f(x)= \max ({4-x^{2}, |x-2|, (x-2)^{\frac{1}{3}}}) for x ∈ [ − 2 , 4 ] x \in [-2,4] and x x -axis.


The answer is 14.75.

Atul Shivam by Atul Shivam , 23, India

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2 solutions

Rishabh Jain
Feb 6, 2016

Nice question...All efforts have to be made in drawing the graph ...Once it is made then it is a regular area calculating question... : )

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Alexander Koran
Feb 6, 2016

That was a great question. Without graphing, I knew it would turn out as a piece wise function, and would have to integrate each of the separate parts.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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