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Prove that the area bonded by the parabo...

Prove that the area bonded by the parabola `y^2=5x+6` and `x^2=y` is `81/15`.

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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. Find the area bounded by the parabola y=2-x^2 and the straight line y+...

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  2. Calculate the area enclosed by the parabola y^(2)=x+3y and the Y-axis...

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  3. Prove that the area bonded by the parabola y^2=5x+6 and x^2=y is 81/1...

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  4. The area common to the circle x^2 + y^2 = 64 and the parabola y^2 = 12...

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  5. A O B is the positive quadrant of the ellipse (x^2)/(a^2)+(y^2)/(b^...

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  6. Sketch the region bounded by the curves y=x^2a n dy=2/(1+x^2) . Find t...

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  7. Let f(x) be a function defined by f (x)=int1^x x(x^2-3x+2)dx, 1 leq x...

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  8. Find the equation of tangent to y=int(x^2)^(x^3)(dt)/(sqrt(1+t^2))a t...

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  9. Find out the area bounded by the curve y=int(1//8)^(sin^(2)x)(sin^(-1)...

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  10. Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

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  11. Let f(x)=ax^(2)+bx + c, where a in R^(+) and b^(2)-4ac lt 0. Area boun...

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  12. For x epsilonR, and a continuous function f let I(1)=int(sin^(2)t)^(1+...

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  13. int(-2)^2min(x-[x],-x-[-x])dx equals, where [ x ] represents greatest ...

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  14. The area of the loop of the curve x^(2)+(y-1)y^(2)=0 is equal to :

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  15. Find the area enclosed by the curves x^2=y , y=x+2 and x-axis

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  16. The area inside the parabola 5x^(2)-y=0 but outside the parabola 2x^(3...

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  17. Find the area bounded by the x-axis, part of the curve y=(1-8/(x^2)) ,...

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  18. Show that the area included between the parabolas y^(2)=4a(x+a) and y^...

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  19. Find the area bounded by the curves y=2x-x^2 and the straight line y=-...

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  20. If y=int(0)^(x)sqrt(sin x)dx the value of (dy)/(dx) at x=(pi)/(2) is :

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