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

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Write the value of |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|

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

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

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

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  5. Find the angle between x-axis and the vector hat i+ hat j+ hat k

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  6. Find the vector vec p which is perpendicular to both vecalpha=4 hat ...

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  7. Find the unit vector perpendicular to plane ABC where the position vec...

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  8. Solve the differential equation x(dy)/(dx)+y=xcosx+sinx , given y(pi/2...

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  9. Two schools, P and Q, want to award their selected students for the...

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  10. Using properties of determinants, show that |b+c a a b c+a b cc a+b|=...

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  11. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  12. Write the equation of the straight line through the point (alpha,beta,...

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  13. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

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  14. Find the value of the constant k so that the function f , defined belo...

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  15. The sides of an equilateral triangle are increasing at the rate of 2...

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  16. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

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  17. Find the particular solution of the differential equation x(dy)/(dx)-y...

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  18. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

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  19. Using properties of determinants, prove that |2yy-z-x2y2z2z z-x-y x-y...

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  20. Write the vector equation of the plane, passing through the point (...

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