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\int{1}^2 frac{1}{x^2} e^(1/x) dx =........

`\int_{1}^2` `frac{1}{x^2} e^(1/x) dx` =................ A) `sqrt e +1` B) `sqrt e` -1 C) `sqrt e`(`sqrt e` -1) D) `(sqrt e -1)/e`

A

`sqrt e` +1

B

`sqrt e` -1

C

`sqrt e`(`sqrt e` -1)

D

(`sqrt e` -1)/e

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CHETANA PUBLICATION-Definite integration-Exercise
  1. \int{0}^((pi)/2) sin^6 x cos^2 x dx=............. (A) frac{7pi}{256} ...

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  2. \int{0}^1 frac{dx}{sqrt (1+x) - sqrt x} = k/3, then k is equal to........

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  3. \int{1}^2 frac{1}{x^2} e^(1/x) dx =................ A) sqrt e +1 B) s...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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