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if int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)tan...

if `int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)tan^(-1)""(x^(2)+1)/(x))` =
`log|tan^(-1)f(x)|+C` then

A

`f(x) = x^(2) + 1`

B

`f(x) = (x^(2) + 1)/(2x)`

C

`f(x) = (1)/(2) (x^(2) + 1)`

D

`f(x)= (x^(2) + 1)/(x)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-SOLVED EXAMPLE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTION ))
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  6. If =intlog(x+sqrt(1+x^(2)))/(sqrt(1+x^(2)))dx=g o f (x) xConst. then

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  9. The value of int(secxdx)/(sqrt(sin(2x+theta)+sintheta)) is

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  10. If int(e^(4x)-1)/(e^(2)x)log((e^(2x)+1)/(e^(2x)-1))dx (t^(2))/(2)log...

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  11. IF the primitive of sin^(-3//2) x sin^(-1//2)(x+theta) is - 2 cosec th...

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  12. If the primitive of (sinx)/(sqrt(1+sinx))dx is -1sqrtf(x) + sqrt(2)log...

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  13. if int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)tan^(-1)""(x^(2)+1)/(x)) = log|...

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  14. If f(x) = underset(nrarroo)lim(x^(n)-x^(-n))/(x^(n)+x^(-n)),0ltxlt1,ni...

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