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Question

Find the area bounded by the curve, $$\displaystyle y=x\left | x \right |$$, x-axis and the ordinates $$\displaystyle x=-\frac{1}{2}$$ and $$x = 1$$:


A
1324sq.units
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B
1724sq.units
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C
1124sq.units
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D
None of these
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Solution

The correct option is D None of these

Area bounded
$$ = \int_{-1/2} ^ 0 -x^2dx + \int_{0} ^1 x^2dx $$
$$ = \cfrac{-x^3}{3}| _{-1/2} ^0  + \cfrac{x^3}{3} | _0 ^1$$
$$ =  \cfrac{3}{8}$$
350469_260697_ans.png

Mathematics

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