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What is int(dx)/(2x^(2)-2x+1) equal to ?...

What is `int(dx)/(2x^(2)-2x+1)` equal to ?

A

`(tan^(-1)(2x-1))/(2)+c`

B

`2tan^(-1)(2x-1)+c`

C

`(tan^(-1)(2x+1))/(2)+c`

D

`tan^(-1)(2x-1)+c`

Text Solution

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The correct Answer is:
D
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PUNEET DOGRA-INTEGRATION-Prev year questions
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  2. What is int(dx)/(x(1+lnx)^(n)) equal to ? (n ne 1)

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  9. Consider the following statements : 1. (dy)/(dx) at a point on the c...

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  14. Let f(x) be an indefinite integral of sin^(2)x. Consider the following...

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  15. What is int(dx)/(x(x^(2)+1)) equal to ?

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  16. What is int(x^(4)-1)/(x^(2)sqrt(x^(4)+x^(2)+1))dx equal to ?

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  17. What is inte^(sinx)(xcos^(3)x-sinx)/(cos^(2)x)dx equal to ?

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  18. Let f(x)and g(x) be twice differentiable functions on [0,2] satisfying...

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