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int0^pi((xtanx)/(secx+tanx))dx...

`int_0^pi((xtanx)/(secx+tanx))`dx

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Solve: 2sin^(-1) x +sin^(-1) (1-x)= pi/2

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  2. Evaluate intln(x^2+x+2)dx

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  3. int0^pi((xtanx)/(secx+tanx))dx

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

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  5. Differentiate cos^(-1)(sinx) w.r.t.x.

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  6. int(cot xdx)/(ln sin x) = ?

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  7. How many independent constants are there in the general equation of a ...

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  8. What is the range of the signum function?

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  9. If the vectors hati+2hatj+hatk & 2hati+3hatj+alphahatk are perpendicul...

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  10. Between tan 1 and tan^(-1)1, which is greater?

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  11. Answer the following: In which inverval does the determinant A =[[1...

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  12. What is AB – BA if A, B and AB are all symmetric matrices .

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  13. If y =(cosx+sinx)/cosx, then what is dy/dx ?

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  14. Write the order of the differential equation whose general solution is...

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  15. Consider the binary operation * on the set {1,2,3,4,5} defined by a*...

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  16. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

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  17. Find the feasible solution region of the following system of inequatio...

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  18. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

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  19. Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn...

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  20. Express [(1,2,3),(4,0,1),(-1,5,-2)] as a sum of a symmetric and a skew...

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