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Find int((x^2+1)e^x)/((x+1)^2)dx...

Find `int((x^2+1)e^x)/((x+1)^2)dx`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the derivative of (sinx)^x+sin^(-1)sqrt(x) w.r.t. x

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  2. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

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  3. Find int((x^2+1)e^x)/((x+1)^2)dx

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  4. If x=asec^3theta,y=atan^3theta, find (d^2y)/(dx^2) at theta=pi/4

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  5. Solve : tan^(-1)2x+tan^(-1)3x=pi/4

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  6. Prove that : tan^(-1)(63)/(16)=sin^(-1)5/(13)+cos^(-1)3/5

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  7. A tank with rectangular base and rectangular sides open at the top is ...

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  8. Let f: N -> R be a function defined as f(x)=4x^2+12 x+15. Show that f:...

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  9. Find the distance of the point (1,2,3) from the plane xy+z=5 measured ...

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  10. Find the minimum value of (a x+b y), where x y=c^2dot

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  11. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  12. Using properties of determinants, prove the following: |[1,a,a^2],[a^2...

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  13. Solve the following differential equation : (sqrt(1+x^2+y^2+x^2y^2))d...

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  14. If a=[5 6-3-4 3 2-4-7 3], then write the cofactor of the element a(...

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  15. Write the sum of the order and degree of the differential equation ...

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  16. Write the solution of the differential equation (dy)/(dx)=2^(-y)

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  17. Using integration, find the area of the region bounded by the line ...

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  18. Find the probability distribution of the number of doublets in four...

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  19. Find the unit vector in the direction of the sum of the vectors 2 hat ...

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  20. Find the area of a parallelogram whose adjacent sides are represent...

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