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Category: Integration

1-x-5-1-dx-

Question Number 49133 by AdqhK ÐQeQqQ last updated on 03/Dec/18 $$\int\frac{\mathrm{1}}{{x}^{\mathrm{5}} +\mathrm{1}}{dx}=?? \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 04/Dec/18 $${pls}\:{mention}\:{the}\:{source}\:{of}\:{this}\:{intregal}… \\ $$ Answered…

1-x-3-1-dx-

Question Number 49032 by AdqhK ÐQeQqQ last updated on 01/Dec/18 $$\int\frac{\mathrm{1}}{{x}^{\mathrm{3}} +\mathrm{1}}{dx}=?? \\ $$ Answered by arvinddayama01@gmail.com. last updated on 01/Dec/18 $$\int\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)\left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)}{dx}\:\:\:\:\:\:\:\because{a}^{\mathrm{3}} +{b}^{\mathrm{3}} =\left({a}+{b}\right)\left({a}^{\mathrm{2}}…

Question-114566

Question Number 114566 by Akeyz last updated on 19/Sep/20 Answered by mathmax by abdo last updated on 19/Sep/20 $$\mathrm{we}\:\mathrm{have}\:\prod_{\mathrm{k}=\mathrm{1}} ^{\infty} \:\mathrm{cos}\left(\frac{\mathrm{x}}{\mathrm{2}^{\mathrm{k}} }\right)\:=\mathrm{lim}_{\mathrm{n}\rightarrow+\infty} \mathrm{A}_{\mathrm{n}} \left(\mathrm{x}\right)\:\mathrm{with}\:\mathrm{A}_{\mathrm{n}} \left(\mathrm{x}\right)=\prod_{\mathrm{k}=\mathrm{1}}…

Question-114541

Question Number 114541 by mnjuly1970 last updated on 19/Sep/20 Answered by abdomsup last updated on 19/Sep/20 $${A}=\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{x}^{\mathrm{2}} {ln}\left({x}\right)}{\mathrm{1}−{x}^{\mathrm{2}} }{dx}\:\Rightarrow \\ $$$${A}\:=\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{\mathrm{2}}…