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Integration - Set 6
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NUST Entrance Test
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Mathematics
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Integration
Set 6
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Mashaal Masha
Oct 06, 2022
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Choose the correct options for the following questions.
$ \int \log xdx$ is equal to:
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Difficulty: Easy
A:
$\frac{\log x}{x}-x$
B:
$x\log x -x$
C:
$x\log x +x$
D:
$x\log x -\frac{1}{x}$
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$\int \tan^{-1}x dx$ is equal to:
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Difficulty: Easy
A:
$\frac{tan^{-1}x}{x}+ln\sqrt{1+x^{2}}$
B:
$\frac{tan^{-1}x}{x}-ln\sqrt{1+x^{2}}$
C:
$x\tan^{-1}x+ln\sqrt{1+x^{2}}$
D:
$x\tan^{-1}x+\frac{1}{ln(1+x^{2})}.2$
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