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The value of the definite integral int(1...

The value of the definite integral `int_(19)^37((x)^2+3(sin2pix))dx` where (x) denotes the fractional part functicn

A

`0`

B

`6`

C

`9`

D

`7`

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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
  1. int(0)^(pi)(x.sin^(2)x.cosx)dx is equal to

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  2. int0^1000 e^(x-[x])dx

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  3. The value of the definite integral int(19)^37((x)^2+3(sin2pix))dx wher...

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  4. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

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  5. The value of ("lim")(n rarr oo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r...

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  6. underset(kto0) lim1/kint0^k(1+sin2x)^(1/x)dx

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  7. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

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  8. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

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  9. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

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  10. If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...

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  11. The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...

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  12. Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e t h e nt h ev...

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  13. Let g(x) be a continous and differentiable function such that int(0...

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  14. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

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  15. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

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  16. int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=

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  17. The value of int(-10)^(10)[{f(f(x)}+{f(f((1)/(x))}]dx, where f(x)=(1-x...

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  18. The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...

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  19. If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...

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  20. The value of int(2010pi+(pi)/(6))^(2010pi+(pi)/(3))(sinx+cosx)dx is

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