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Evaluate int (0)^(1) x ( 1-x)^n dx...

Evaluate `int _(0)^(1) x ( 1-x)^n dx `

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CBSE MODEL PAPER-SAMPLE QUESTION PAPER ( MATHEMATICS )-QUESTION
  1. Find the equation of the normal to the curve y= x+1/x ,x gt 0 perpendi...

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  2. int1/(cos^2x(1-tanx)^2)\ dx

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  3. Evaluate int (0)^(1) x ( 1-x)^n dx

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  4. Find the area of the region bounded by the parabola y^2 = 8x and the ...

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  5. Solve the following differential equation: (dy )/(dx) =x^3 cosec ...

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  6. Find the area of the parallelogram whose one side and a diagonal are r...

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  7. Find the vector equation of the plane that passes through the point (1...

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  8. A refrigerator box contains 2 milk chocolates and 4 dark chocolates. T...

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  9. Given that E and F are events such that P(E) = 0.8, P(F) = 0.7, P (E n...

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  10. Check whether the relation R in the set Z of integers defined asR={(a,...

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  11. If y=e^(x sin ^2 x ) + ( sin x )^x, find (dy)/(dx)

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  12. Prove that the greatest integer function defined byf(x) =[x] ,0 lt x...

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  13. If x=a sec theta , y=b tan theta find (d^2 y )/( dx^2) at x =...

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  14. Find the intervals in which the function f given by f(x) = tan ...

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  15. find int (x^2 +1)/((x^2 +2 ) ( x^2 +3 )) dx .

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  16. Find the area of the region bounded by the curves x^2 +y^2 =4, ...

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  17. Find the area of the ellipse x^2 + 9y^2 = 36 using integration

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  18. Find the general solution of the following differential equation: x ...

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  19. If [(1,2,0),(-2,-1,-2),(0,-1,1)], find A^-1. Using A^-1, solve the sys...

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  20. Evaluate the product AB , where A=[(1,-1,0),(2,3,4),(0,1,2)] and...

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