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Evaluate : int (0)^(3/2) [x^(2)]dx....

Evaluate : `int _(0)^(3/2) [x^(2)]dx`.

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MODERN PUBLICATION-SAMPLE PAPER 2014-EXERCISE
  1. Evaluate the following integrals : int(dx)/(x^(1/2)+x^(1/3))

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  2. Evaluate : int (xe^x)/(x+1)^(2) dx

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  3. Evaluate : int (0)^(3/2) [x^(2)]dx.

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  4. Find the area of the region bounded by the curve y=sin^(3)x and the st...

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  5. Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...

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  6. Solve : (x+y)dy +(x-y)dx = 0.

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  7. Find the differential equation whose general solution is ax^(2) + by =...

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  8. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  9. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  10. Using the method of elemination find the symmetrical form of equation ...

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  11. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  12. If A and B are square matrices of same order, then show by means of an...

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  13. Five cities A,B,C,D,E are connected to each other by straight roads. W...

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  14. Two balls are drawn from a bag containing 6 red and 4 yellow balls. Fi...

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  15. A person draws three cards at random one after another from a pack of ...

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  16. Evaluate int0^ pi x/(1+ sin x) dx

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  17. Solve the following differential equations (x+tany)dy= sin 2y ""dx

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  18. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

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  19. Find the equation of the sphere inscribed in a tetrahedron whose faces...

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  20. Solve the following LPP : Maximize Z=20x + 10y, Subject to : x+2y le 4...

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