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…
Question Number 132877 by mnjuly1970 last updated on 17/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:….\:{nice}\:\:{calculus}… \\ $$$$\:\:\:{prove}\:{that}\:: \\ $$$$\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \frac{{sin}\left({x}\right).{log}^{\mathrm{2}} \left({x}\right)}{{x}} \\ $$$$\:\:\:\:\:\:\:=\frac{\pi}{\mathrm{24}}\left(\mathrm{12}\gamma^{\:\mathrm{2}} +\pi^{\mathrm{2}} \right)\:….. \\ $$ Answered by…
Question Number 132876 by mnjuly1970 last updated on 17/Feb/21 Commented by Dwaipayan Shikari last updated on 17/Feb/21 $$\phi'\left(\frac{\mathrm{1}}{\mathrm{2}}\right)\:\:\:\phi\left({x}\right){is}\:{defined}\:{in}\:{Q}\mathrm{132877} \\ $$ Terms of Service Privacy Policy…
Question Number 1788 by 112358 last updated on 26/Sep/15 $${Find}\:{the}\:{value}\:{of}\:{Q}\:{if}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{Q}=\int_{\mathrm{0}} ^{\:\pi/\mathrm{2}} {ln}\left(\frac{\mathrm{1}+{sinx}}{\mathrm{1}+{cosx}}\right){dx}\:. \\ $$$$ \\ $$ Commented by John_Haha last updated on 21/Nov/15…
Question Number 132852 by abdullahquwatan last updated on 17/Feb/21 $$\int\left({x}−\mathrm{1}\right)^{{x}+\mathrm{1}} \mathrm{d}{x} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com