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For `x >0,l e tf(x)=int_1^x(logt)/(1+t)dtdot` Find the function `f(x)+f(1/x)` and find the value of `f(e)+f(1/e)dot`

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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-EXERCISE (LEVEL 2) Numerical Answer Type Questions
  1. If (Kn)/( Ln)= 1024 where K(n) = int(0)^(1) x^(n) (2-x)^(n) dx, L(n) =...

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  2. Let f: R to R be a differentiable function, such that f(0) = 0, f((pi)...

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  3. The integral solution of int(sqrt2)^(x) (dx)/( sqrt(x^2 -1) ) = (pi)/(...

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  4. Evaluate : int(pi/6)^(pi/3)(dx)/(1+sqrt(cotx))

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  5. The value of (1)/(10) (int(0)^(100pi+V) | sin x| dx) + cos V is (0 le ...

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  6. For x >0,l e tf(x)=int1^x(logt)/(1+t)dtdot Find the function f(x)+f(1/...

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  7. The value of int(-1)^(1) (x)/( sqrt(1-x^(2) ) ) log ((1+x)/( 1-x)) dx ...

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  8. 9! int(0)^(1) x^(4) (1- x)^(5) dx is equal to.

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  9. int(1//2)^(1)(dx)/( sqrt(3x^(2) + 2x -1) ) is equal to (pi=3.14)

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  10. The value of int(1)^(e^(37) ) ( sin ( pi log x) )/( x) dx is (pi= 3.14...

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  11. Let d/(dx) (F(x))= e^(sinx)/x, x>0. If int1^4 2e^sin(x^2)/x dx = F(k)...

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  12. The value of int(pi//4)^(3pi//4)(phi)/(1+sinphi)d phi is

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  13. For x in R and a continuous functio f(x) , let I(1)underset(sin^(2)t)o...

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  14. The value of (d)/( dx) int(x^2)^(x) sqrt( cos t) dt at x= 0 is

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  15. The value of int(0)^(1.5) x^(2)[x^2] dx is (sqrt(2) = 1.41)

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  16. If I= int(0)^(pi) sin^(3) theta (1+ 2 cos theta) (1+ cos theta)^(2) d ...

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  17. underset(x to 0)lim(underset(-x)overset(x)int f(t)dt)/(underset(0)over...

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  18. If I= int(0)^(pi//4) ( sqrt(sin x) + sqrt(cos x) )^(-4) dx then I equa...

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  19. If I= int(0)^(pi) (x^(2) sin x)/( (2x-1) (1+ cos^(2) x) ) dx then the ...

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