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Let S be the area of the region enclosed...

Let `S` be the area of the region enclosed by `y-e^(-x^(2)),y=0, x=0` and `x=1`. Then

A

`Sge1/e`

B

`Sge1-1/e`

C

`Sle1/4(1+1/(sqrt(e)))`

D

`Sle1/(sqrt(2))+1/(sqrt(e))(1-1/(sqrt(2)))`

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The correct Answer is:
B, D
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ARIHANT MATHS ENGLISH-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  8. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  9. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  10. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  11. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

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  12. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

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  13. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

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  14. The area (in sq. units) of the quadrilateral formed by the tangents ...

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  15. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

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  16. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

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  17. The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and ...

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  18. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

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  19. The area bounded by the curves y=cos x and y= sin x between the ordina...

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  20. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

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