Question Number 140956 by mnjuly1970 last updated on 14/May/21 $$\:\:\:\:\:\:\:\:\:\:…..{advanced}……{calculus}….. \\ $$$$\:\:\:\:\:{prove}\:{that}: \\ $$$$\:\:\boldsymbol{\phi}:=\:\int_{−\infty} ^{\:\infty} \frac{{sin}^{\mathrm{4}} \left({x}\right).{cos}^{\mathrm{4}} \left({x}\right)}{{x}^{\mathrm{2}} }{dx}=\frac{\pi}{\mathrm{16}} \\ $$$$\:\:{m}.{n} \\ $$ Answered by…
Question Number 9863 by richard last updated on 10/Jan/17 $$\mathrm{the}\:\mathrm{value}\:\mathrm{of}: \\ $$$$\underset{\mathrm{0}} {\overset{\pi/\mathrm{2}} {\int}}\frac{\mathrm{1}}{\mathrm{1}+\mathrm{tan}^{\mathrm{3}} {x}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 140930 by bramlexs22 last updated on 14/May/21 $$\underset{\mathrm{0}} {\overset{\pi} {\int}}\:\frac{\mathrm{dx}}{\:\sqrt{\mathrm{2}}\:−\mathrm{cos}\:\mathrm{x}} \\ $$ Answered by Dwaipayan Shikari last updated on 14/May/21 $$\mathrm{2}\int_{\mathrm{0}} ^{\infty} \frac{{dt}}{\:\sqrt{\mathrm{2}}−\frac{\mathrm{1}−{t}^{\mathrm{2}}…
Question Number 9837 by Alimurtaza last updated on 06/Jan/17 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{e}^{\mathrm{x}^{\mathrm{2}} } \mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 140896 by bramlexs22 last updated on 14/May/21 $$\mathrm{the}\:\mathrm{function}\:\mathrm{f}\:\mathrm{with}\:\mathrm{variable}\:\mathrm{x} \\ $$$$\mathrm{satisfies}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\mathrm{x}^{\mathrm{2}} \:\mathrm{f}\:'\left(\mathrm{x}\right)\:+\mathrm{2x}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{arctan}\:\mathrm{x}\:\mathrm{for}\: \\ $$$$\mathrm{0}\:<\:\mathrm{arctan}\:\mathrm{x}\:<\frac{\pi}{\mathrm{2}}\:\mathrm{and}\:\mathrm{f}\left(\mathrm{1}\right)=\frac{\pi}{\mathrm{4}}. \\ $$$$\mathrm{find}\:\mathrm{f}\left(\mathrm{x}\right). \\ $$ Answered by EDWIN88 last…
Question Number 9822 by ridwan balatif last updated on 06/Jan/17 Answered by sandy_suhendra last updated on 06/Jan/17 $$\mathrm{f}\:'\left(\mathrm{x}\right)=\mathrm{k}\left(\mathrm{3x}^{\mathrm{2}} −\mathrm{12x}+\mathrm{9}\right)=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{3}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{x}−\mathrm{3}\right)\left(\mathrm{x}−\mathrm{1}\right)=\mathrm{0} \\…
Question Number 9821 by ridwan balatif last updated on 06/Jan/17 Commented by prakash jain last updated on 08/Jan/17 $$\mathrm{Is}\:\mathrm{the}\:\mathrm{question} \\ $$$$\mathrm{Given}\:{f}\left({x}\right)={f}\left({x}+\mathrm{2}\right) \\ $$$$\mathrm{and}\:\int_{\mathrm{0}} ^{\mathrm{2}} {f}\left({x}\right){dx}={B}…