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Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0...

Let `I=int_0^1(sin)/(sqrt(x))dx"and"J=int_0^1(cosx)/(sqrt(x))dx` Then which one of the following is true? (1) `I >2/3"and"j >2` (2) `I<2/3"and"j<2` (3) `I<2/3"and"j >2` (4) `I >2/3"and"j<2`

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JEE MAINS PREVIOUS YEAR-INTEGRALS-All Questions
  1. The solution for x of the equation int(sqrt(2))^x(dt)/(tsqrt(t^2-1))=p...

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  2. Let F(x)""=""f(x)""+""f(1/x),"w h e r e"f(x)=intt^x(logt)/(1+t)dtdot ...

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  3. int(dx)/(cosx+sqrt(3)sinx) equals: (1) 1/2logtan(x/2+pi/(12))+c (...

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  4. The value of sqrt(2)int(sin"x"dx)/(sin(x-pi/4)) is: (1) x+log|cos(x-pi...

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  5. Let I=int0^1(sin)/(sqrt(x))dx"and"J=int0^1(cosx)/(sqrt(x))dx Then w...

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  6. Let p(x) be a function defined on R such that p '(x)""=""p '(1-x) , fo...

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  7. The value of int0^1(8log(1+x))/(1+x^2)dx is: (1) pilog2 (2) pi/8lo...

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  8. If g(x)""=int0xcos4t"dt" , then g(x""+pi) equals: (1) (g(x)/(g(pi) (2...

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  9. If the integral int(5tanx)/(tanx-2)dx=x+a"ln"|sinx-2cosx|+k then a i...

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  10. If intf(x)dx=psi(x) , then intx^5f(x^3")"dx is equal to

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  11. The integral int(1+x-1/x)e^(x+1/x)dx is equal to (1) (x-1)e^(x+1/x)+C...

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  12. The integral int0^pisqrt(1+4sin^2(x/2)-4sin(x/2)dx) equal (1) pi-4 ...

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  13. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

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  14. The integral int(dx)/(x^4 - 1)^(1/4) equal:

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  15. The integral int(2x^(12)+5x^9)/((x^5+x^3+1)^3)dx is equal to: (1) (-x^...

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  16. Let In=inttan^n xdx ,(n &gt;1) If I4+I6=atan^5x+b x^5+C , Where ...

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  17. The Integral int(pi/4)^((3pi)/4)(dx)/(1+cosx) is equal to:

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