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Category: Integration

Find-the-area-enclosed-between-curves-y-2-2a-x-x-3-and-line-x-2-above-the-x-axis-Graphing-calculators-are-not-allowed-

Question Number 46103 by rahul 19 last updated on 21/Oct/18 $${Find}\:{the}\:{area}\:{enclosed}\:{between}\:{curves} \\ $$$${y}^{\mathrm{2}} \left(\mathrm{2}{a}−{x}\right)={x}^{\mathrm{3}} \:{and}\:{line}\:{x}=\mathrm{2}\:{above}\:{the} \\ $$$${x}−{axis}\:? \\ $$$${Graphing}\:{calculators}\:{are}\:{not}\:{allowed}.. \\ $$ Commented by rahul 19…

I-x-n-1-1-x-n-dx-

Question Number 46101 by Saorey last updated on 21/Oct/18 $$\mathrm{I}=\int\frac{\mathrm{x}^{\mathrm{n}+\mathrm{1}} }{\:\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{n}} }}\mathrm{dx}=? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 21/Oct/18 $${x}^{{n}} ={tan}^{\mathrm{2}} \theta\:\:\:\:{so}\:{nx}^{{n}−\mathrm{1}} {dx}=\mathrm{2}{tan}\theta{sec}^{\mathrm{2}}…

Question-46091

Question Number 46091 by sandeepkeshari0797@gmail.com last updated on 21/Oct/18 Commented by maxmathsup by imad last updated on 21/Oct/18 $${let}\:{f}\left({t}\right)=\int_{\mathrm{0}} ^{{u}} \:\frac{{sinx}}{{x}}{e}^{−{tx}} {dx}\:\:{with}\:{t}\geqslant{o}\:\:{we}\:{have}\:{f}^{'} \left({t}\right)=−\int_{\mathrm{0}} ^{{u}} \:{sinx}\:{e}^{−{tx}}…

please-help-me-calculate-I-2-1-e-2-12288ln-x-1-ln-12-x-1-4096-x-1-dx-thanks-

Question Number 46087 by Saorey last updated on 21/Oct/18 $$\mathrm{please}\:\mathrm{help}\:\mathrm{me}!! \\ $$$$\mathrm{calculate}: \\ $$$$\mathrm{I}=\underset{\mathrm{2}} {\overset{\mathrm{1}+\mathrm{e}^{\mathrm{2}} } {\int}}\frac{\mathrm{12288ln}\left(\mathrm{x}−\mathrm{1}\right)}{\left[\mathrm{ln}^{\mathrm{12}} \left(\mathrm{x}−\mathrm{1}\right)+\mathrm{4096}\right]\left(\mathrm{x}−\mathrm{1}\right)}\mathrm{dx} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{thanks}!!! \\ $$ Answered by tanmay.chaudhury50@gmail.com…