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Evaluate into^rsqrt(r^2-x^2) dx ,whe...

Evaluate
`int_o^rsqrt(r^2-x^2) dx`
,where r is a fixed positive number .Hence prove the area of the circle of radius r is
`pir^2`

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MAXIMUM PUBLICATION-APPLICATION OF INTEGRALS-EXAMPLE
  1. Consider the functions f(x) = sin x and g(x) = cos x in the interval ...

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  2. Consider the functions f(x) = sin x and g(x) = cos x in the interval ...

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  3. Evaluate into^rsqrt(r^2-x^2) dx ,where r is a fixed positive numbe...

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  4. Find the area of the circle , x^2+y^2=16 which Is exterior to par...

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  5. Using the figure define the equation of ellipse and circle in the gi...

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  6. Using the figure find the area of ellipse using integration

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  7. Using the figure find the area of the shaded region(Area of the circ...

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  8. The area bounded by the curve y=f(x), x-axis and the line x=a and x=b ...

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  9. Find the area enclosed between parabola y=x^2 and the straight lin...

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  10. Find the area enclosed between the curve x^2=4y and the line x = 4...

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  11. Area of the shaded portion in the figure is equal to

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  12. Consider the curves y=x^3 ,x = 0,y = 1,y = 4 Draw a rough sketch a...

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  13. Consider the following figure find the point of intersection P of t...

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  14. using the given figure find the area of the enclosed region

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  15. The area bounded by the curve above the x-axis, between x = a and x = ...

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  16. Find the area of the circle x^2+y^2=4 using integration

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  17. The area bounded by y= 2 cos x, the x-axis from x = 0 to x=pi/2.a)0 b)...

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  18. Find the area of the region bounded by the y^2=4ax and x^2=4ay, a>0

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  19. Consider the circle x^2+y^2=16 and the straight line y=sqrt 3x ...

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  20. Consider the circle x^2+y^2=16 and the straight line y=sqrt 3x ...

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