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Evaluate int (log x)^2 dx...

Evaluate `int (log x)^2 dx`

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SHARAM PUBLICATION-QUESTION PAPER 2016-EXERCISE
  1. The radius of a spherical soap bubble is increasing at the rate of 0.2...

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  2. If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

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  3. Evaluate int (log x)^2 dx

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  4. Evaluate: int(2x+9)/(x+3)^2dx

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  5. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

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  6. Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx

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  7. Solve dy + e^-y sin x dx = 0.

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  8. Solve: (x^2-1)dy/dx+2xy=1

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  9. Prove that |a+b| le |a| + |b| State when equality will hold,

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  10. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  11. The projection of a line segment overline(OP), through origin O, on th...

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  12. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  13. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  14. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  15. Find the feasible region of the following system 2x+yge6,x-yle3,xge0...

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  16. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

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  17. Prove that the following. [[a,b,c],[x,y,z],[p,q,r]]=[[y,b,q],[x,a,p],[...

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  18. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

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  19. How many 4 digit numbers each greater than 6000 can be formed with be ...

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  20. If m=""^nC2, prove that ""^nC2=3(n+1)C4.

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