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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`

A

`lgt(2)/(3)andJgt2`

B

`llt(2)/(3)andJlt2`

C

`llt(2)/(3)andJgt2`

D

`lgt(2)/(3)andJlt2`

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FIITJEE-DEFINITE INTEGRAL -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
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  2. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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

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

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

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

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

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

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

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

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

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

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