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Fundamental theorem of definite integral...

Fundamental theorem of definite integral :
`I=int_(0)^(1)(sinx)/(sqrtx)dx and J=int_(0)^(1)(cosx)/(sqrtx)dx` then which of the following statement is true ?

A

`Igt(2)/(3) and Jgt2`

B

`Ilt(2)/(3) and Jlt2`

C

`Ilt(2)/(3)and Jgt2`

D

`Igt(2)/(3) and Jlt2`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
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  2. Fundamental theorem of definite integral : If int(sinx)^(1)t^(2)f(t)...

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  3. Fundamental theorem of definite integral : I=int(0)^(1)(sinx)/(sqrtx...

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  4. Fundamental theorem of definite integral : (d)/(dx)(F(x))=(e^(sinx))...

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  5. int(1)^(2)logxdx=..........

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  6. Fundamental theorem of definite integral : If int(0)^(k)(dx)/(1+4x^(...

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  7. int(3)^(5)(t^(2))/(t^(2)-4)dx=.............

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  8. int(0)^(pi)e^(x)cos2xdx=.............

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  9. Fundamental theorem of definite integral : int(-1)^(2)sqrt(5x+6)dx=....

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  10. Fundamental theorem of definite integral : int(0)^(pi/4)(sin^(9)x)/(...

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  11. Fundamental theorem of definite integral : int(0)^(pi)sqrt(1+4sin^(2...

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  12. Fundamental theorem of definite integral : int(0)^(pi/4)tan^(100)xdx...

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  13. Fundamental theorem of definite integral : int(a)^(b)(logx)/(x)dx=.....

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  14. Fundamental theorem of definite integral : int(0)^(pi/2)(cos2x)/((si...

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  15. int(0)^(5)sqrt(25-x^(2))dx=.............

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  16. Evaluation of definite integrals by subsitiution and properties of its...

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  17. Evaluation of definite integrals by subsitiution and properties of its...

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  18. Evaluation of definite integrals by subsitiution and properties of its...

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  19. Evaluation of definite integrals by subsitiution and properties of its...

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  20. Evaluation of definite integrals by subsitiution and properties of its...

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