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If f((1)/(x))+x^(2)f(x)=0,AAxgt0 then in...

If `f((1)/(x))+x^(2)f(x)=0,AAxgt0` then `int_(sinx)^(cosecx)f(z)dz` is for `x in(0,(pi)/(2))` is equal to

A

1

B

a functional of x

C

`(cosecx)/(tanx)`

D

0

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FIITJEE-DEFINITE INTEGRAL -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. int(0)^(pi//2n)(dx)/(1+(cotnx)^(n)) is equal to (ninN)

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  2. The value of int(0)^(4pi)|sinx|-[(|sinx|)/(2)]-[(|cosx|)/(2)]dx is

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  3. If f((1)/(x))+x^(2)f(x)=0,AAxgt0 then int(sinx)^(cosecx)f(z)dz is for ...

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  4. The value of the integral int(pi//6)^(pi//3)(dx)/(1+tan^(5)x) is

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  5. For any integer n, the integral int0^pie^(cosx)cos^3(2n+1)xdx has the ...

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  6. The value of int(0)^(pi//2)ln((sin^(2)theta)/(cos^(3)theta))d theta is

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  7. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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  8. int- 8^8(sin^(93)x+x^(295))\ dx

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

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  10. int0^100 {sqrtx} dx (where {x) is fractional part of x ) =

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  11. int(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=

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  12. If bgta, then int(a)^(b)(dx)/(sqrt((x-a)(b-x))) is equal to

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  13. inta^bsqrt((x-a)(b-x)) dx , a > b

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  14. Let f(x)=int(1)^(x)t(t^(2)-3t+2)dt,1lexle4. Then the range of f (x) is

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  15. Suppose g(x) satisfies g(x)=x+int(0)^(1)(xy^(2)+yx^(2))g(y)dy, then g(...

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  16. For x epsilonR, and a continuous function f let I(1)=int(sin^(2)t)^(1+...

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  17. If overset(4)underset(-1)int f(x)=4 and overset(4)underset(2)int (3-f(...

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  18. If f(x)=f(a+b-x), then overset(b)underset(a)int xf(x)dx is equal to

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  19. If f(x)=int((1)/(x))^(sqrt(x))cost^(2)dt(xgt0)" then "(df(x))/(dx) is

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  20. Let f(x) = 1/x ln(x/e^x) then its primitive w.r.t x is

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