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int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if...

`int_(-a)^(a)f(x)dx= 2int_(0)^(a)f(x)dx,` if f is an even function
0, if f is an odd function.

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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- OCTOBER 2015-SECTION -II
  1. If y=sec^(-1)((sqrt(x-1))/(x+sqrt(x)))+sin^(-1)((x+sqrt(x))/(sqrt(x-1...

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  2. If I=int(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx, then the val...

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  3. The solution of the differential equation (dy)/(dx)=secx-ytanx is :

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  4. Evaluate : int(1)/(xlogxlog(logx))dx

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  5. Find the area of the parabola y^2=4a xbounded by its latus rectum.

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  6. Find k ,such that the function P(x)={{:(k({:(4),(x):}),,x=0","1"...

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  7. Given X~B(n,p).If E(X)=6 and Var (X) = 4.2, find the value of n.

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  8. Solve the different equation y-x(dy)/(dx)=0.

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  9. Discuss the continuity of the following functions at the points shown ...

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  10. If f'(x)=k(cos x-sinx), f'(0)=3, f((pi)/(2))=15, find f(x)

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  11. cos^(-1)((3cosx-2sinx)/(sqrt(13)))

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  12. Show that int(1)/(x^(2)sqrt(a^(2)+x^(2)))dx=(-1)/(a^(2))(sqrt(a^(2)+x...

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  13. A rectangle has an area of 50 "cm"^(2). Find its dimensions for least ...

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  14. int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if f is an even function 0, if...

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  15. If y =f(u) is differentiable function of u, and u=g(x) is a differenti...

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  16. Each of the total fice questions in amultiple choice examination has f...

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  17. If f(x)=x^(2)+a, for xge0, f(x)=2sqrt(x^(2)+1)+b,"for"xlt0andf((1)/(2...

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  18. Find the approximate values of : cos(89^(@)30)," given "1^(@)=0.0175...

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  19. Solve the different equation : x+y(dy)/(dx)=sec(x^(2)+y^(2)). Also f...

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  20. Find the expected value ,variance and standard deviation of random var...

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