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Find : int(sin^(-1)sqrt(x)-cos^(-1)sqrt(...

Find : `int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx ,x in [0,1]`

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Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))dx

sin^(-1)sqrt(x)+cos^(-1)sqrt(1-x)=

sin^(-1)sqrt(x)+cos^(-1)sqrt(1-x)=

Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))\ dx

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int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

Find int(1)/(sqrt(x)sqrt(1-x))dx

Find the range of f(x)=sqrt(cos^(-1)sqrt((1-x^2))-sin^(-1)x)

Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x)-1)/(sqrt(x)+1))

If sin^(-1)x_i in [0,1]AAi=1,2,3, .28 then find the maximum value of sqrt(sin^(-1)x_1)sqrt(cos^(-1)x_2)+sqrt(sin^(-1)x_2)sqrt(cos^(-1)x_3)+ sqrt(sin^(-1)x_3)sqrt(cos^(-1)x_4)++sqrt(sin^(-1)x_(28))sqrt(cos^(-1)x_1)

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int(x^3)/(x^4+3x^2+2)dx

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  2. Find : int(sqrt(x^2+1)(log(x^2+1)-2logx)/(x^4)dx

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  3. Find : int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)s...

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  4. In a game, a man wins rupees five for a six and loses rupee one for...

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  5. An urn contains 4 balls. Two balls are drawn at random from the urn...

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  6. Solve for x : tan^(-1)x+2cot^(-1)x=(2pi)/3

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  7. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

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  8. One kind of cake requires 200 g of flour and 25 g of fat, and anoth...

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  9. Using integration, find the area of the triangle PQR, coordinates o...

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  10. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, ...

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  11. AB is a diameter of a circle and C is any point on the circumference o...

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  12. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  13. Let * R*Rvec given by (a , b)veca+4b^2 is a binary operation. Compute ...

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  14. The elements a(i j) of a 3xx3 matrix are given by a(i j)=1/2|-3i+j|dot...

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  15. Write the principal value of tan^(-1)[s in-(pi/2)]

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  16. If (2x4)(x-8)=0 , find the positive value of x

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  17. Write the value of |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|

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  18. Find int(sin^6x)/(cos^8x)dxdot

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  19. Evaluate: int(tan^(-1)x)/(1+x^2)dx

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  20. If | vec a|=8,| vec b|=3 and | vec a x vec b|=12 , find the angle betw...

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