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Category: Integration

a-dx-1-tgx-b-dx-1-tgx-1-3-c-dx-1-1-x-

Question Number 49367 by behi83417@gmail.com last updated on 06/Dec/18 $$\left.\:\:\:\:{a}\right)\:\:\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\:\sqrt{\mathrm{1}−\boldsymbol{\mathrm{tgx}}}} \\ $$$$\left.\:\:\:\:{b}\right)\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\:\sqrt[{\mathrm{3}}]{\mathrm{1}−\boldsymbol{\mathrm{tgx}}}} \\ $$$$\left.\:\:\:\:{c}\right)\int\:\:\frac{\boldsymbol{\mathrm{dx}}}{\:\sqrt{\mathrm{1}−\sqrt{\mathrm{1}−\boldsymbol{\mathrm{x}}}}} \\ $$ Commented by behi83417@gmail.com last updated on 06/Dec/18 $${thank}\:{you}\:{very}\:{much}\:{pro}.\:{Abdo}. \\…

Question-180388

Question Number 180388 by universe last updated on 11/Nov/22 Answered by aleks041103 last updated on 12/Nov/22 $$\int_{\mathrm{0}} ^{\mathrm{3}} {f}^{−\mathrm{1}} \left({x}\right){dx}=\int_{{f}^{−\mathrm{1}} \left(\mathrm{0}\right)} ^{{f}^{−\mathrm{1}} \left(\mathrm{3}\right)} {f}^{−\mathrm{1}} \left({f}\left({y}\right)\right){d}\left({f}\left({y}\right)\right)=…

x-2-x-6-5-1-6-dx-

Question Number 180379 by cortano1 last updated on 11/Nov/22 $$\:\:\:\:\int\:{x}^{\mathrm{2}} \:\sqrt[{\mathrm{6}}]{{x}^{\mathrm{6}} +\mathrm{5}}\:{dx}\:=? \\ $$ Answered by Ar Brandon last updated on 11/Nov/22 $${I}=\int{x}^{\mathrm{2}} \sqrt[{\mathrm{6}}]{{x}^{\mathrm{6}} +\mathrm{5}}{dx}=\sqrt[{\mathrm{6}}]{\mathrm{5}}\int{x}^{\mathrm{2}}…