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Q.

The area bounded by  y=x3−4x and X-axis (in square units) is

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a

5

b

9

c

8

d

12

answer is C.

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Detailed Solution

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⇒   y=x(x−2)(x+2)∴ Required area=∫−20(x3−4x)dx−∫02x3−4xdx=[x44−2x2]−20−[x44−2x2]02=8 sq units

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The area bounded by  y=x3−4x and X-axis (in square units) is