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Category: Integration

I-dx-1-x-6-

Question Number 158591 by cortano last updated on 06/Nov/21 I=dx1+x6=? Commented by tounghoungko last updated on 06/Nov/21 $${I}=\int\:\frac{{x}^{\mathrm{2}} +\mathrm{1}}{{x}^{\mathrm{6}} +\mathrm{1}}\:{dx}−\int\:\frac{{x}^{\mathrm{2}} }{{x}^{\mathrm{6}} +\mathrm{1}}\:{dx}…

sin-1-x-2-dx-

Question Number 93045 by john santu last updated on 10/May/20 sin1(x2)dx Commented by mathmax by abdo last updated on 10/May/20 $${I}\:=\int\:\:{arcsin}\left(\sqrt{\frac{{x}}{\mathrm{2}}}\right){dx}\:\:\:\:{changement}\:\sqrt{\frac{{x}}{\mathrm{2}}}={t}\:{give}\:\frac{{x}}{\mathrm{2}}={t}^{\mathrm{2}} \:\Rightarrow{x}=\mathrm{2}{t}^{\mathrm{2}}…