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Q.

If a < b < 0 then  ∫ab| x |xdx =

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a

a – b

b

b – a

c

a + b

d

0

answer is A.

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Detailed Solution

∫ab(x)xdx=∫ab−xxdx                   (∵ x<0)                 =(−x)ab                 =a−b
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If a < b < 0 then  ∫ab| x |xdx =