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Question

The area bounded by the two curves y=sinx, y=cosx and the X-axis in the first quadrant [0,π2] is

A
22 sq. units
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B
2+2 sq,. units
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C
2(21) sq. units
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D
4 sq. units
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Solution

The correct option is B 22 sq. units
The area bounded by the curves y=sinx, y=cosx and X-axis in [0,π2] is given by
A=π/40sinxdx+π/2π/4cosxdx

=[cosx]π/40+[sinx]π/2π/4

=(121)+(112)

=(22)squnits

61582_34981_ans_755a1cd1be0e48fa8a809dc6cf89fad5.png

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