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Maths-

General

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Question

$not stretchy integral subscript blank superscript blank x C a n to the power of negative 1 end exponent x d x equals$

$\frac{x^{2}}{2} f a n^{- 1} x + \frac{1}{2} x + \frac{1}{2} f a n^{- 1} x + c$
$\frac{1}{2} C a n^{- 1} x (x^{2} + 1) - \frac{x}{2} + c$
$\frac{x^{2} + 1}{2} C a n^{- 1_{χ}} + \frac{x}{2} + c$
$(x^{2} + 1) C a n^{- 1} x - \frac{x^{2}}{2} + c$

The correct answer is: $fraction numerator 1 over denominator 2 end fraction C a n to the power of negative 1 end exponent x left parenthesis x to the power of 2 end exponent plus 1 right parenthesis minus fraction numerator x over denominator 2 end fraction plus c$

$t a n to the power of negative 1 end exponent x blank fraction numerator x to the power of 2 end exponent over denominator 2 end fraction minus not stretchy integral subscript blank superscript blank fraction numerator x to the power of 2 end exponent over denominator 2 end fraction blank fraction numerator 1 over denominator 1 plus x to the power of 2 end exponent end fraction d x$
$fraction numerator x t a n to the power of negative 1 end exponent x over denominator 2 end fraction minus fraction numerator 1 over denominator 2 end fraction not stretchy integral subscript blank superscript blank fraction numerator x to the power of 2 end exponent plus 1 minus 1 over denominator 1 plus x to the power of 2 end exponent end fraction d x$
$fraction numerator x to the power of 2 end exponent t a n to the power of negative 1 end exponent x over denominator 2 end fraction minus fraction numerator 1 over denominator 2 end fraction not stretchy integral subscript blank superscript blank left parenthesis 1 minus fraction numerator 1 over denominator 1 plus x to the power of 2 end exponent end fraction right parenthesis d x$
$fraction numerator x to the power of 2 end exponent t a n to the power of negative 1 end exponent x over denominator 2 end fraction minus fraction numerator 1 over denominator 2 end fraction left square bracket x minus t a n to the power of negative 1 end exponent x right square bracket plus c$
$fraction numerator x to the power of 2 end exponent t a n to the power of negative 1 end exponent x over denominator 2 end fraction minus fraction numerator 1 over denominator 2 end fraction x plus fraction numerator 1 over denominator 2 end fraction t a n to the power of negative 1 end exponent x plus c$
$fraction numerator 1 over denominator 2 end fraction t a n to the power of negative 1 end exponent x left parenthesis x to the power of 2 end exponent plus 1 right parenthesis minus fraction numerator x over denominator 2 end fraction plus c$

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