Question Number 132925 by metamorfose last updated on 17/Feb/21 $$\left(\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{{sin}\left({x}\right)}{dx}\right)^{\mathrm{2}} +\left(\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{{cos}\left({x}\right)}{dx}\right)^{\mathrm{2}} <\mathrm{8}\left(\sqrt{\mathrm{2}}−\mathrm{1}\right) \\ $$ Answered by Dwaipayan Shikari last updated on…
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Question Number 67385 by mathmax by abdo last updated on 26/Aug/19 $${find}\:\int\:{x}\left(\sqrt{\frac{\mathrm{1}−{x}^{\mathrm{2}} }{\mathrm{1}+{x}^{\mathrm{2}} }}\right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 67374 by mathmax by abdo last updated on 26/Aug/19 $${find}\:\int\:\left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arctan}\left(\mathrm{1}−\frac{\mathrm{1}}{{x}}\right){dx} \\ $$ Commented by Abdo msup. last updated on 27/Aug/19 $${let}\:{I}\:=\int\left(\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arcran}\left(\mathrm{1}−\frac{\mathrm{1}}{{x}}\right){dx}\:{by}\:{psrts}…
Question Number 67373 by mathmax by abdo last updated on 26/Aug/19 $${simplify}\:\:\:{S}_{{n}} \left({x}\right)\:=\sum_{{k}=\mathrm{0}} ^{{n}} \:{C}_{{n}} ^{{k}} \:{cos}^{\mathrm{4}} \left(\pi{kx}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\mathrm{1}}{\mathrm{3}}} \:{S}_{{n}} \left({x}\right){dx} \\…
Question Number 132901 by bramlexs22 last updated on 17/Feb/21 $$\int_{−\pi/\mathrm{2}} ^{\mathrm{3}\pi/\mathrm{2}} \:\left(\mathrm{sin}^{−\mathrm{1}} \left(\mid\mathrm{sin}\:\mathrm{x}\mid\right)+\mathrm{cos}^{−\mathrm{1}} \left(\mid\mathrm{cos}\:\mathrm{x}\mid\right)\right)\:\mathrm{dx} \\ $$ Answered by liberty last updated on 17/Feb/21 Commented by…
Question Number 67359 by mhmd last updated on 26/Aug/19 $$\int{siny}/{y}\:\:{dy} \\ $$ Commented by mathmax by abdo last updated on 26/Aug/19 $${at}\:{form}\:{of}\:{serie}\:\:{we}\:{have}\:{siny}\:=\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} {y}^{\mathrm{2}{n}+\mathrm{1}}…
Question Number 1818 by sabyasachi last updated on 05/Oct/15 $$\int\:\frac{\mathrm{sin}\:{x}\:+\:\mathrm{cos}\:{x}}{\:\sqrt{\mathrm{sin}\:{x}\:\mathrm{cos}\:{x}}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1822 by 112358 last updated on 06/Oct/15 $${Find}\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\pi} \frac{{x}\mid{sin}\mathrm{2}{x}\mid}{\mathrm{3}+{sin}^{\mathrm{2}} {x}}{dx}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 67342 by mathmax by abdo last updated on 26/Aug/19 $${find}\:{the}\:{value}\:{of}\:\int_{−\infty} ^{\infty} \:\:\:\frac{{sin}\left(\mathrm{2}{x}^{\mathrm{2}} \right)}{\left({x}^{\mathrm{2}} −{x}\:+\mathrm{3}\right)^{\mathrm{3}} }{dx} \\ $$ Commented by mathmax by abdo last…