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Show that : int0^(pi/2)(sin^2x)/(sinx+co...

Show that : `int_0^(pi/2)(sin^2x)/(sinx+cosx)dx=1/(sqrt(2))log(sqrt(2)+1)`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the value ( hat ixx hat j)dot hat k+ hat idot hat jdot

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  2. Find the scalar components of the vector vec A B with initial point A...

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  3. Show that : int0^(pi/2)(sin^2x)/(sinx+cosx)dx=1/(sqrt(2))log(sqrt(2)+1...

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  4. Evaluate: int(x^3)/(x^4+3x^2+2)dx

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

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

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

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

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

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

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  11. One kind of cake requires 200 g of flour and 25 g of fat, another k...

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

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

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

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

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  16. Let * R*Rvec given by (a , b) vec (a+4b^2) is a binary operation. C...

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

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  18. Write the principal value of tan^(-1)[sin(-pi/2)]

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

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

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