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int(xe^x)/(1+x^2)dx...

`int(xe^x)/(1+x^2)dx`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.

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  2. Find the solution of the following differential equations: (4x+6y+5)dx...

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

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  4. Solve dy/dx-y=e^x.

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  5. Evaluate int(-2)^2abs([x])dx.

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  6. intdx/(sqrtx-root(3)(x))(x=t^6)

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  7. Find the co-ordinates of the foot of the perpendicular from the point ...

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  8. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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  9. Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...

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  10. If the magnitude of the difference of two unit vectors is sqrt3 then f...

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  11. Using vector method prove that cosA=(b^2+c^2-a^2)/(2bc)

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  12. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

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  13. Solve the following by matrix method x-y+z=4, 2x+y-3z=0, x+y+z=2

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  14. In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...

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  15. Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...

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  16. Prove that the two lines whose direction cosines are connected by the ...

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  17. Integrate the following inte^(cos^2x)sin2x dx

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  18. Solve the differential equation (dy)/(dx)= (y-x+1)/(y+x+5).

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  19. Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)

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  20. If x=(sin^(3)t)/(sqrt(cos2t)) and y=(cos^(3)t)/(sqrt(cos2t)), then fin...

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