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Category: Integration

1-x-2-3-dx-

Question Number 168341 by Tibo last updated on 08/Apr/22 $$\int\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{3}} {dx}=? \\ $$ Answered by Florian last updated on 08/Apr/22 $$\:\:=\:\int\mathrm{1}+\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}^{\mathrm{4}} +{x}^{\mathrm{6}} {dx}…

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

Question Number 102790 by bobhans last updated on 11/Jul/20 $${I}=\mathrm{2}\underset{\mathrm{0}} {\overset{\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}} {\int}}\:\frac{\mathrm{sin}^{−\mathrm{1}} \left({x}\right)}{{x}}\:{dx}\:−\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}{{x}}\:{dx}\: \\ $$ Answered by bramlex last updated on 11/Jul/20…