If f(x)=tan^(-1)x+lin sqrt(1+x)-ln sqrt(1-x) . the integral of -Turito

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Question

If $f left parenthesis x right parenthesis equals t a n to the power of negative 1 end exponent invisible function application x plus l space l n invisible function application square root of 1 plus x end root minus l n square root of 1 minus x end root$ . The integral of $1 divided by 2 space f apostrophe left parenthesis x right parenthesis$ with respect to $x to the power of 4 end exponent$ is -

$e^{- x^{4}} + c$
$- l n (1 - x^{4}) + c$
$e^{\sqrt{1 - x^{4}}} + c$
$l n (1 + x^{4}) + c$

The correct answer is: $negative l n open parentheses 1 minus x to the power of 4 end exponent close parentheses plus c$

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