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Category: Integration

tan-x-1-Cos-x-dx-Need-help-

Question Number 25335 by mubeen897@hotmail.com last updated on 08/Dec/17 $$\int\frac{{tan}\left({x}\right)}{\left(\mathrm{1}+{Cos}\left({x}\right)\right)}{dx}=? \\ $$$${Need}\:{help}?? \\ $$$$ \\ $$ Answered by ajfour last updated on 08/Dec/17 $${I}=\int\frac{\mathrm{sin}\:{x}}{\mathrm{cos}\:{x}\left(\mathrm{1}+\mathrm{cos}\:{x}\right)}{dx} \\…

1-ln-2-1-e-x-1-dx-2-ln-2-1-e-x-1-dx-

Question Number 90802 by john santu last updated on 26/Apr/20 $$\left.\mathrm{1}\right)\:\underset{\mathrm{ln}\:\mathrm{2}} {\overset{\infty} {\int}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{e}^{{x}} −\mathrm{1}}}\:{dx}\: \\ $$$$\left.\mathrm{2}\right)\:\underset{\mathrm{ln}\:\mathrm{2}} {\overset{\infty} {\int}}\:\frac{\mathrm{1}}{{e}^{{x}} −\mathrm{1}}\:{dx}\: \\ $$ Commented by john santu…

0-2-4-x-x-x-4-x-dx-

Question Number 90784 by jagoll last updated on 26/Apr/20 $$\underset{\mathrm{0}} {\overset{\mathrm{2}} {\int}}\:\sqrt{\frac{\mathrm{4}−{x}}{{x}}}−\sqrt{\frac{{x}}{\mathrm{4}−{x}}}\:{dx}\:? \\ $$ Commented by jagoll last updated on 26/Apr/20 $$\int_{\mathrm{0}} ^{\mathrm{2}} \:\frac{\left(\sqrt{\mathrm{4}−{x}}\right)^{\mathrm{2}} −\left(\sqrt{{x}}\right)^{\mathrm{2}}…