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If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-...

If `f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)=f(2pi-x),AAx in (pi,2pi],` then the area enclosed by `y=f(x)` and the x-axis is
(a)`pi` sq `dot` units
(b) `2pi` sq `dot` units
(c) `2` sq `dot` units
(d) `4`sq `dot` units

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CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. The area of the loop of the curve a y^2=x^2(a-x) is

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  2. The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx ...

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  3. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

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  4. The area enclosed by the curve y=sqrt(4-x^2),ygeqsqrt(2)sin((xpi)/(2sq...

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  5. The area bounded by the curves y=xe^x,y=xe^-x and the lines x=1 is

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  6. The area enclosed by the curves xy^2=a^2(a-x) and (a-x)y^2=a^2x is

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  7. The area bounded by the loop of the curve 4y^2=x^2(4-x^2) is (a)7/3 sq...

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  8. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

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  9. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

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  10. For which of the following values of m is the area of the regions bou...

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  11. The area of the region bounded by the curve y=e^(x) and lines x=0 and ...

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  12. Find the area bounded by the curves x^2+y^2=4, x^2=-sqrt2 y and x=y

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  13. For a point P in the plane, let d1(P)a n dd2(P) be the distances of th...

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  14. If a (a >0) is the value of parameter for each of which the area of t...

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  15. Consider two curves C1: y=1/x a n dC2: y=logx on the x y plane. Let D1...

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  16. Find the area bounded by y^2lt=4x ,x^2+y^2geq2x ,a n dxlt=y+2 in the f...

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  17. Find the area of the region R which is enclosed by the curve ygeqsqrt(...

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  18. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

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  19. Find the area of the region {(x, y) : y^(2) le 4x, 4x^(2) + 4y^(2) le ...

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  20. Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2...

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