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

`int_0^1(x^5(4-x^2))/sqrt(1-x^2)dx`

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2016-PREVIOUS YEAR QUESTION
  1. Evaluate : int(logx)^2dx

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

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

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

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  5. Obtain the general solution of the following differential equations. y...

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

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

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  8. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

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

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

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

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

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

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

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

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

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  19. If the ratio of the 3rd term from the beginning to the 3rd term from t...

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  20. Let A and B be events with P(A)=1/3,P(AuuB)=3/4,P(AnnB)=1/4, find P(Au...

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