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The integral int(1+x-1/x)e^(x+1/x)dx is ...

The integral `int(1+x-1/x)e^(x+1/x)dx` is equal to

A

`(x-1)e^(x+""(1)/(x))+C`

B

`x e^(x+(1)/(x))+C`

C

`(x+1)e^(x+""(1)/(x))+C`

D

`-xe^(x+""(1)/(x))+C`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS
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  3. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

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  4. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

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  6. int ((sin^2xcos^2x)/(sin^3x+cos^3x))dx=

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  10. if I=int(log(t+sqrt(1+t^2)))/sqrt(1+t^2)dt=1/2(g(t))^2+c then g(2) is ...

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  13. If int(1)/(cos^(2)xsqrt(2 sin2x))dx=(tanx)^(A)+C(tanx)^(B)+k, where k...

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  14. Evaluate: intsqrt(1+2cotx(cotx+cosecx))dx

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  18. if f ((x- 4 ) /(x + 2 )) = 2 x + 1 , (x in R - { 1, - 2 }) , ...

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  19. int\ (sin^2 x cos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 \ d...

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