Category: Integration

Question Number 163573 by Zaynal last updated on 08/Jan/22 Commented by MJS_new last updated on 08/Jan/22 $$=\frac{\mathrm{sec}^{−\mathrm{1}} }{\mathrm{3cosec}^{−\mathrm{1}} }\int\frac{{dx}}{{x}^{\mathrm{2}} } \\ $$$$\mathrm{or}\:\mathrm{rewrite}\:\mathrm{it}\:\mathrm{properly} \\ $$ Terms…

Question Number 98020 by bobhans last updated on 11/Jun/20 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{region}\:\mathrm{bounded} \\ $$$$\mathrm{by}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:\leqslant\:\mathrm{9}\:;\:\mathrm{x}+\mathrm{y}\:\leqslant\:\mathrm{3}\:\mathrm{and}\:\mathrm{y}\:\leqslant\:\mathrm{x}\: \\ $$ Answered by bemath last updated on 11/Jun/20 Commented by…

Question Number 32482 by prof Abdo imad last updated on 25/Mar/18 $${find}\:\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\:\frac{{sin}^{\mathrm{2}} {t}}{\mathrm{1}−\mathrm{2}{xcost}\:+{x}^{\mathrm{2}} }{dt}\:{with}\:\mid{x}\mid<\mathrm{1}\:. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 32480 by prof Abdo imad last updated on 25/Mar/18 $${find}\:\:\int_{\mathrm{0}} ^{\alpha} \:\sqrt{{tanx}}\:{dx}\:{with}\:\mathrm{0}<\alpha<\frac{\pi}{\mathrm{2}}\:. \\ $$ Commented by prof Abdo imad last updated on 14/Apr/18…

Question Number 98016 by bemath last updated on 11/Jun/20 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{ln}^{\mathrm{2}} \left({x}\right)}{{x}^{\mathrm{2}} +\mathrm{1}}\:{dx}\:?\: \\ $$ Commented by bobhans last updated on 11/Jun/20 $$\mathrm{substitution}\:{w}\:=\:−\mathrm{ln}\:\left({x}\right)\:,\:{x}\:=\:{e}^{−{w}} \\…