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Category: Integration

1-calculate-I-ln-1-ix-2-dx-and-J-ln-1-ix-2-dx-2-calculate-A-ln-1-x-4-dx-

Question Number 62056 by maxmathsup by imad last updated on 14/Jun/19 $$\left.\mathrm{1}\right)\:{calculate}\:{I}\:=\int{ln}\left(\mathrm{1}+{ix}^{\mathrm{2}} \right){dx}\:{and}\:{J}\:=\:\int{ln}\left(\mathrm{1}−{ix}^{\mathrm{2}} \right){dx} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{A}\:=\int\:{ln}\left(\mathrm{1}+{x}^{\mathrm{4}} \right){dx}\:. \\ $$ Terms of Service Privacy Policy Contact:…

0-pi-4-sin-x-sin-x-cos-x-dx-

Question Number 127528 by bramlexs22 last updated on 30/Dec/20 $$\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{4}} \frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}\:\mathrm{dx}\:=?\: \\ $$ Answered by liberty last updated on 30/Dec/20 $$\:{Let}\:{L}\:=\:\int_{\mathrm{0}} ^{\:\pi/\mathrm{4}} \frac{\mathrm{sin}\:{x}}{\mathrm{sin}\:{x}+\mathrm{cos}\:{x}}\:{dx}\: \\…