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Category: Integration

After-looking-at-a-previous-question-I-was-wondering-if-the-following-is-correct-I-n-0-n-1-x-dx-n-R-I-n-0-n-e-ipix-dx-1-I-n-i-pi-e-ipix-0-n-I-n-i-pi-e-ipix-0-n-

Question Number 6441 by Temp last updated on 27/Jun/16 $$\mathrm{After}\:\mathrm{looking}\:\mathrm{at}\:\mathrm{a}\:\mathrm{previous}\:\mathrm{question} \\ $$$$\mathrm{I}\:\mathrm{was}\:\mathrm{wondering}\:\mathrm{if}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{is}\:\mathrm{correct}: \\ $$$${I}\left({n}\right)=\int_{\mathrm{0}} ^{\:{n}} \left(−\mathrm{1}\right)^{{x}} {dx},\:\:{n}\in\mathbb{R} \\ $$$${I}\left({n}\right)=\int_{\mathrm{0}} ^{\:{n}} {e}^{{i}\pi{x}} {dx}\:\:\:\left(\mathrm{1}\right) \\…

I-dx-sinx-sin2x-

Question Number 6444 by sanusihammed last updated on 27/Jun/16 $${I}\:=\:\int\frac{{dx}}{{sinx}\:+\:{sin}\mathrm{2}{x}} \\ $$ Commented by Temp last updated on 27/Jun/16 $$\mathrm{Try}\:\mathrm{www}.\mathrm{WolframAlpha}.\mathrm{com} \\ $$$$\mathrm{search}: \\ $$$$“{int}\:\mathrm{1}/\left({sin}\left({x}\right)+{sin}\left(\mathrm{2}{x}\right)\right)\:{dx}'' \\…

H-0-4-tanx-dx-

Question Number 6439 by sanusihammed last updated on 27/Jun/16 $${H}\:=\:\int_{\mathrm{0}} ^{\frac{\Pi}{\mathrm{4}}} \sqrt{{tanx}}\:{dx}\: \\ $$ Commented by Temp last updated on 27/Jun/16 $$\int\sqrt{\mathrm{tan}{x}}{dx}\:\mathrm{is}\:\mathrm{difficult}\:\mathrm{to}\:\mathrm{solve}. \\ $$ Commented…