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Question

Area bounded by the curve y=sin1x,yaxis and y=cos1x is equal to

A
(2+2)
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B
(22)
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C
(1+2)
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D
(21)
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Solution

The correct option is D (21)
Given,

y=sin1x,y=cos1x,yaxis

siny=x,cosy=x

siny=cosytany=1

y=tan11=π4

Area=π40cos(y)sin(y)dy

=π40cos(y)dyπ40sin(y)dy

=12(12+1)

=21

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