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In case of each of the following stateme...

In case of each of the following statements, state whether it is true or false:
The area under the curve `y = sqrt(1-x^2)` is equal to `underset(-1)overset(1) int sqrt(1-x^2)dx`.

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In case of each of the following statements, state whether it is true or false: The area bounded by curves y= sqrtx and y = x^2 is equal to underset(0)overset(1) int (sqrtx-x^2)dx .

In case of each of the following statements, state whether it is true or false: The area enclosed between the curves y = x^2 and x= y^2 is eqaul to underset(0)overset(1) int (x^2-sqrtx)dx .

In case of each of the following statements, state whether it is true or false: The area bounded by y^2=x and the lines x= 4 and x= 9 is equal to underset(4)overset(9) int sqrtx dx .

In case of each of the following statements, state whether it is true or false: The area bounded by the curve y = x^2 and the lines y = 1 and y = 4 is equal to underset(1)overset(4) int sqrty dy .

In case of each of the following statements, state whether it is true or false: The area enclosed by the curve 4x^2+4y^2= 9 is equal to 9/4pi square units.

underset0 overset1 int (dx)/(sqrt(1-x^2))

underset0overset1int x/sqrt(1+x^2)dx

Evaluate: underset(-1)overset(1)int 5x^4sqrt(x^5+1)dx

PRADEEP PUBLICATION-APPLICATIONS OF INTEGRALS-EXERCISE
  1. The area enclosed between the graph of y = x , the x-axis and the ordi...

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  2. The area of the circle x^2+y^2=a^2 is :

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  3. In case of each of the following statements, state whether it is true ...

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  4. In case of each of the following statements, state whether it is true ...

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  5. In case of each of the following statements, state whether it is true ...

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  6. In case of each of the following statements, state whether it is true ...

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  7. In case of each of the following statements, state whether it is true ...

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  8. In case of each of the following statements, state whether it is true ...

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  9. Match the statements in column I with those given in column II.

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  10. The area enclosed between y = x, x= 1, x= 3 and the x-axis is

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  11. If graph of y = f(x) is continous between x= a and x= b, altb , then a...

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  12. The area enclosed between the graph of y = 2x-x^2 and the x-axis is

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  13. The area enclosed between the graph of y = cos x, -pi/2 le x le pi/2 a...

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  14. Find the area of the region bounded by the curve y=2sqrt(1-x^(2)) and ...

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  15. Find the area enclosed by the circle x^2+y^2=2

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  16. The area bounded by the curve y = sin x, pi le x le 2 pi and the x-axi...

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  17. Area enclosed between thhe graph of y= x^2 x-axis and the lines x= -1,...

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  18. The area enclsoed between the graph of y= x^3 and the lines x= 0, y=1,...

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  19. Find the area of the region in the first quadrant enclosed by the x-ax...

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  20. Area of ellipse x^2/a^2 + y^2/b^2 = 1, a > b is :

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