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Q.

If  f(x)=ecos⁡ xsin⁡ x for |x|≤22 otherwise , then ∫−23 f(x)dx=

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a

0

b

1

c

2

d

3

answer is C.

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Detailed Solution

∫−23 f(x)dx=∫−22 f(x)dx+∫23 f(x)dx=∫−22 ecos⁡ xsin⁡ xdx+∫23 2dx=0+2=2 since ∫−aa g(x)dx=0 if g(−x)=−g(x)
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