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If int((1+logx)^2)/(x)dx =F(x)+C , wher...

If `int((1+logx)^2)/(x)dx =F(x)+C` , where C is arbitrary constant, then F(x) is

A

`((1+logx)^2)/2`

B

`((1+logx)^2)/3`

C

`((1+logx)^3)/3`

D

`(1+logx)^3`

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XII BOARDS PREVIOUS YEAR-CUET MOCK TEST 2022-Question
  1. The function f(x) = [x], where [x] = greatest integer of

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  2. The value of integral int(-1)^(1)|x|dx is

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  3. If int((1+logx)^2)/(x)dx =F(x)+C , where C is arbitrary constant, the...

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  4. If int(cosx)/((1-sinx)(2-sinx))dx =F(x)+C then F(X) is

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  5. Value of int xlog xdx is

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  6. The value of int(0)^(3) |x-2| dx is

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  7. The area of the region bounded by the curve y^2 = x and the lines x=1...

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  8. If the solution of (sinx)^(3)xx(dx)/(dy) = sin y is A cos y + B cos x ...

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  9. The solution of the given initial value problem (dy)/(dx)=e^(2x+y),y(0...

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  10. If the solution of (dy)/(dx) -y =e^x , y(0) = 1 is y = F(x)e^x , Then...

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  11. A homogeneous differential equation of the form (dx)/(dy)=g(x/y) can ...

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  12. The sum of the order and degree of the differential equation ((dy)/(dx...

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  13. The number of arbitrary constants in the general solution of a differe...

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  14. The area bounded by the curve y = sin x between x = 0 and x = pi is

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  15. The Integrating Factor of the differential equation x(dy)/(dx)-y=2...

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  17. A unit vector perpendicular to both the vectors hati -2 hatj + 3hatk a...

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  18. If |veca|=10,|vecb|=2andveca.vecb=12, then the value of |vecaxxvecb| i...

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