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Let I1= \int{e}^ {e^2} dx/log x and I2=...

Let `I_1`= `\int_{e}^ {e^2} dx/log x` and `I_2`= `\int_{1}^2 frac{e^x}{x}` dx, then.......... `(A) I_1=1/3 a I_2 (B) I_1+I_2=0 (C) I_1=2 I_2 (D) I_1=I_2`

A

I1=(1/3)I2

B

I1+I2=0

C

I1=2I2

D

I1=I2

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CHETANA PUBLICATION-Definite integration-Exercise
  1. \int{1}^2 frac{1}{x^2} e^(1/x) dx =................ A) sqrt e +1 B) s...

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  2. \int{2}^a[1/log x - 1/(log x)^2] dx = a + b/ log 2 A) a=e, b=-2 B) ...

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  3. Let I1= \int{e}^ {e^2} dx/log x and I2= \int{1}^2 frac{e^x}{x} dx, th...

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  4. \int{0}^9 frac{sqrt x}{ sqrt x + sqrt (9-x)} dx=............. A) 9/2 B...

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  5. The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...

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  6. The value of I=\int{0}^(pi/2) frac{1}{1+cot x} dx is........... A) pi...

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  7. The value of \int{0}^(pi) frac{x}{4 cos^2 x + 9 sin^2 x} dx is...........

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  8. The value of \int{0}^1 x(1-x)^99 dx is........... A) 1/10100 B) 11/1...

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  9. The value of \int{-pi/2}^(pi/2) x sqrt (cos x - cos^2 x) dx is...........

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  10. The value of\int{0}^(pi/2) frac{1}{1+tan^3 x} dx is........... A) 0 B...

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  11. The value of \int{- pi }^(2 pi ) log(sec theta - tan theta ) d theta...

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  12. The value of I= \int{0}^43^(sqrt (2x+1)) is...........

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  13. \int{0}^oo frac{1}{(x^2+4)(x^2+9)}dx=................ (A) pi/30 (B) ...

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  14. \int{0}^((pi)/4) frac{sin x + cos x}{3+ sin 2x}dx =................ (...

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  15. \int{pi/4}^((3pi)/4) frac{1}{1+ cos x}dx=................

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  16. \int{0}^(pi^2/4) sin sqrt x dx =.........

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  17. \int{0}^((pi)/4) log(1+2tantheta + tan^2theta) dtheta =.........

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  18. \int{a}^b sqrt ((x-a)(b-x)) dx is equal to........

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  19. \int{0}^((pi)/2) sqrt sin2 theta sin theta dtheta is .........

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  20. \int{-2}^2 abs(1-x) dx=...........

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