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Question

Area of the region bounded by the x-axis and curves y=tanx(π3xπ3) and
y=cotx(π6x3π2 ) is

A
log 2
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B
2 log 2
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C
log2
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D
None
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Solution

The correct option is A log 2


y=tanx,y=cotxtanx=cotxx=π4
Required area = π40tanxdx+π4π4cotxdx
=log|secx|]π40+log|sinx|]π2π4
=log(2)0+0log12=log2 sq. unit

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