Question Number 28706 by students last updated on 29/Jan/18 $${most}\:{important}\:{question}\:{gor}\:{boar}\:{or}\:{iit}\: \\ $$$${solve}\:{the}\:{integration}\:\:\frac{\mathrm{1}}{\mathrm{3}{sinx}+\mathrm{4}{cosx}} \\ $$ Commented by abdo imad last updated on 29/Jan/18 $${let}\:{put}\:{I}=\:\int\:\:\frac{{dx}}{\mathrm{3}{sinx}+\mathrm{4}{cosx}}\:{and}\:{use}\:{the}\:{ch}.\:{tan}\left(\frac{{x}}{\mathrm{2}}\right)={t} \\ $$$${I}=\:\int\:\:\:\:\frac{\mathrm{1}}{\frac{\mathrm{6}{t}}{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 28703 by students last updated on 29/Jan/18 $$\frac{\mathrm{1}}{\left({a}^{\mathrm{2}} +{x}^{\mathrm{2}} \right)^{\mathrm{3}/\mathrm{2}} }\:\:\:{solve}\:{the}\:{integration} \\ $$ Commented by abdo imad last updated on 29/Jan/18 $${let}\:{put}\:{I}=\:\int\:\:\frac{{dx}}{\left({a}^{\mathrm{2}} +{x}^{\mathrm{2}}…
Question Number 28702 by students last updated on 29/Jan/18 $${solve}\:{integration}\:\:\frac{\mathrm{1}}{\:\sqrt{\left({x}−\alpha\right)\left(\beta−{x}\right)}}\:\:. \\ $$ Commented by abdo imad last updated on 29/Jan/18 $${let}\:{use}\:{the}\:{ch}.\:{x}=\:\frac{\alpha−\beta}{\mathrm{2}}{t}\:+\frac{\alpha+\beta}{\mathrm{2}}{so} \\ $$$${x}−\alpha=\:\frac{\alpha−\beta}{\mathrm{2}}{t}\:+\frac{\alpha+\beta\:−\mathrm{2}\alpha}{\mathrm{2}}=\frac{\alpha−\beta}{\mathrm{2}}\:\left({t}−\mathrm{1}\right)\:{and}\: \\ $$$$\beta−{x}=\beta−\frac{\alpha+\beta}{\mathrm{2}}\:−\frac{\alpha−\beta}{\mathrm{2}}{t}\:=\frac{\beta−\alpha}{\mathrm{2}}\:−\frac{\alpha−\beta}{\mathrm{2}}{t}…
Question Number 28701 by students last updated on 29/Jan/18 $${integration}\:\frac{{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} +{x}+\mathrm{1}} \\ $$ Commented by abdo imad last updated on 29/Jan/18 $$\int\:\:\:\frac{{x}^{\mathrm{3}} }{{x}^{\mathrm{2}} +{x}+\mathrm{1}}{dx}=\:\int\:\frac{{x}^{\mathrm{3}}…
Question Number 159768 by cortano last updated on 21/Nov/21 Commented by Tony6400 last updated on 21/Nov/21 $$\int_{\precsim\mathrm{3}} ^{\mathrm{4}} \left[\mathrm{6}+\frac{{x}}{\mathrm{2}}\precsim\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\right]{dx} \\ $$$$=\left[\mathrm{6}{x}+\frac{{x}^{\mathrm{2}} }{\mathrm{4}}\precsim\frac{{x}^{\mathrm{3}} }{\mathrm{6}}\right]_{\precsim\mathrm{3}} ^{\mathrm{4}}…
Question Number 28700 by students last updated on 29/Jan/18 $${solve}\:{integration}\:\sqrt{\frac{{sin}\left({x}−\alpha\right)}{{sin}\left({x}+\alpha\right)}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 28694 by abdo imad last updated on 29/Jan/18 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{tx}^{\mathrm{2}} } {cosx}\:{dx}\:\:{with}\:{t}>\mathrm{0}\:. \\ $$ Commented by abdo imad last updated on 29/Jan/18…
Question Number 28687 by abdo imad last updated on 28/Jan/18 $${find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−\left(\:{t}^{\mathrm{2}} +\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right)} {dt}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 94220 by student work last updated on 17/May/20 $$\int\mathrm{x}^{\mathrm{x}} \mathrm{dx}=? \\ $$ Commented by student work last updated on 17/May/20 $$\mathrm{solve}\:\mathrm{soon} \\ $$…
Question Number 28685 by abdo imad last updated on 28/Jan/18 $${find}\:{the}\:{value}\:{of}\:\:{I}=\int\int_{{D}} \:{x}^{\mathrm{3}} {dxdy}\:\:\:{with} \\ $$$${D}=\:\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /\mathrm{1}\leqslant{x}\leqslant\mathrm{2}\:{and}\:\:{x}^{\mathrm{2}} −{y}^{\mathrm{2}} \:\:\geqslant\mathrm{1}\:\:\right\}. \\ $$ Terms of Service Privacy Policy…