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I-2-0-1-2-sin-1-x-x-dx-0-1-tan-1-x-x-dx-




Question Number 102905 by bemath last updated on 11/Jul/20
I=2∫_0 ^(1/( (√2)))  ((sin^(−1) (x))/x) dx −∫_0 ^1  ((tan^(−1) (x))/x)dx
$${I}=\mathrm{2}\underset{\mathrm{0}} {\overset{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}} {\int}}\:\frac{\mathrm{sin}^{−\mathrm{1}} \left({x}\right)}{{x}}\:{dx}\:−\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}{{x}}{dx} \\ $$
Answered by bramlex last updated on 11/Jul/20

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