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Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x)))...

Evaluate: `int(e^x)/(sqrt(5-4e^x-e^(2x))) dx`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Find int ((x-1)/ ((x-2)(x-3))) dx

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  2. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

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  3. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

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  4. Find the differential equation representing the family of curves y=-Ac...

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  5. If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...

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  6. Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...

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  7. Find the differential of the function cos^(-1) (sin 2x) w.r.tx.

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  8. Find int e^x((2+sin 2x)/(2 cos^2x)) dx

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  9. Using integration, find the area of the region bounded by the lines...

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  10. Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,...

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  11. If A and B are independent events with P(A)=3/7 and P(B)=2/5 then fin...

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  12. Show that the function f in A = R - {2/3} defined as f(x) = (4x+3)/(6x...

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  13. A company manufactures two types of novelty souvenirs made of plywo...

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  14. A card from a pack of 52 cards is lost. From the remaining cards of...

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  15. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  16. Find the vector equation of the line passing through (2,1,-1) and para...

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  17. Prove that the radius of the right circular cylinder of greatest cu...

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  18. Differentiate sec^2 (x^2) with respect to x^2

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  19. Find the general solution of the differential equation e^(y-x) dy/dx ...

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  20. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

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