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Integrate int(frac[x-1][2x+1])dx...

Integrate `int(frac[x-1][2x+1])dx`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the equation of normal to the curve x^3 =4y which passes through ...

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  2. If y=x^2cos^(-1)(frac[sqrtx-1][sqrtx+1])+x^2cosec^(-1)(frac[sqrtx+1][...

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  3. Integrate int(frac[x-1][2x+1])dx

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  4. int0^2[x^2]dx

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  5. int0^(pi/2)e^x cosxdx

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  6. Solve(x log x )dy/dx+y=2 log x.

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  7. Find the area of the portion of the parabola y^2=4x bounded by the dou...

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  8. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  9. Prove that : |veca + vecb|le|veca|+|vecb|.

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  10. If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle...

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  11. Find a symmetric form of the equation to the lines x +2y-z-2= 0 and 2x...

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

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  13. Find frac[dy][dx] if y=tan^(-1)(frac[sqrt(a^2+x^2)+sqrt(a^2-x^2)][sqr...

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  14. A curve passes through the point (2, 0) and slope of tthe tangent at a...

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  15. Prove that int0^(pi)frac[xdx][1+sinx]=pi

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  16. Find the solution of the following differential equations: (2x+3y-5)dy...

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  17. Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...

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  18. Maximize:Z=10x1+12x2+8x3 "Subject to": x1+2x2 le 30 5x1 -7x3 ge 12 x1+...

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  19. Let f: X rarr Y If there exists a map g:Y rarr X such that gof = id...

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

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