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Question

The area in the first quadrant enclosed by the x-axis, the line y=13x and circle x2+y2=4 is given by.

A
30(x+4x2)dx
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B
20(x+4x2)dx
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C
20(x3+4x2)dx
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D
30x3dx+234x2dx
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Solution

The correct option is C 30x3dx+234x2dx
y=13x and x2+y2=4
x2+13x2=4
43x2=4
x=±3
Since area is in 1st quadrant, so, x=3 and y=1
So,
Area =3013xdx+234x2dx

Hence, this is the answer.

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