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Question

Area of region enclosed by curve y=|x3|. X-axis and lines x=0,x=2 is _________.

A
32
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B
4
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C
92
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D
2
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Solution

The correct option is A 4
We take y=0 to get point at intersection of the curve y=|x3| with X-axis.
x3=0
x=3
Curve intersects X-axis at (3,0)
Required area =20|x3|dx
=∣ ∣20(x3)dx∣ ∣
Here x|0,2| so we have x3<0
=20(3x)dx
=(3xx22)20
=(642)0
=1242
=82
Required area =4.

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