Question Number 86407 by Power last updated on 28/Mar/20 Commented by mathmax by abdo last updated on 28/Mar/20 $$\left.{A}\:=\int\:\sqrt{\left({x}−{a}\right)\left({b}−{x}\right.}\right){dx}\:\Rightarrow{A}\:=\int\sqrt{{x}−{a}}\sqrt{{b}−{x}}{dx}\:{chsngement} \\ $$$$\sqrt{{x}−{a}}={t}\:{give}\:{x}−{a}\:={t}^{\mathrm{2}} \:\Rightarrow \\ $$$${A}\:=\int\:\:{t}\sqrt{{b}−\left({a}+{t}^{\mathrm{2}} \right)}\left(\mathrm{2}{t}\right){dt}\:=\mathrm{2}\:\int\:{t}^{\mathrm{2}}…
Question Number 86405 by Power last updated on 28/Mar/20 Commented by MJS last updated on 28/Mar/20 $$\mathrm{sin}^{\mathrm{2}} \:\mathrm{3}{x}\:\mathrm{sin}^{\mathrm{3}} \:\mathrm{2}{x}\:= \\ $$$$=\frac{\mathrm{1}}{\mathrm{16}}\left(\mathrm{sin}\:\mathrm{12}{x}\:−\mathrm{3sin}\:\mathrm{8}{x}\:−\mathrm{2sin}\:\mathrm{6}{x}\:+\mathrm{3sin}\:\mathrm{4}{x}\:+\mathrm{6sin}\:\mathrm{2}{x}\right) \\ $$$$\mathrm{now}\:\mathrm{it}'\mathrm{s}\:\mathrm{super}\:\mathrm{easy} \\ $$…
Question Number 86399 by Power last updated on 28/Mar/20 Commented by Prithwish Sen 1 last updated on 28/Mar/20 $$\mathrm{put}\:\mathrm{x}=\mathrm{2asin}^{\mathrm{2}} \mathrm{t} \\ $$$$\mathrm{and}\:\mathrm{simplify}. \\ $$ Commented…
Question Number 86397 by M±th+et£s last updated on 28/Mar/20 $$\int\frac{{dx}}{{sin}^{\mathrm{2}} \left({x}\right)+{tan}^{\mathrm{2}} \left({x}\right)}\:{dx} \\ $$ Commented by Prithwish Sen 1 last updated on 28/Mar/20 $$−\mathrm{cotx}−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\mid\mathrm{tan}^{\mathrm{2}} \mathrm{x}+\frac{\mathrm{1}}{\mathrm{2}}\mid+\mathrm{C}…
Question Number 20857 by Joel577 last updated on 05/Sep/17 $$\int\:\sqrt{\mathrm{sin}\:{x}}\:+\:\sqrt{\mathrm{cos}\:{x}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 86375 by mathmax by abdo last updated on 28/Mar/20 $${calculate}\:{by}\:{complex}\:{method}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{dx}}{{x}^{\mathrm{2}} −{x}+\mathrm{1}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 86374 by mathmax by abdo last updated on 28/Mar/20 $${calculate}\:{bycomplex}\:{method}\:\:\int_{\mathrm{1}} ^{+\infty} \:\frac{{dx}}{\mathrm{1}+{x}^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on…
Question Number 151894 by peter frank last updated on 24/Aug/21 $$\int_{\mathrm{0}} ^{\mathrm{a}} \:\:\:\mathrm{x}\:\sqrt{\frac{\mathrm{a}^{\mathrm{2}} −\mathrm{x}^{\mathrm{2}} }{\mathrm{a}^{\mathrm{2}} +\mathrm{x}^{\mathrm{2}} }} \\ $$ Commented by peter frank last updated…
Question Number 86341 by redmiiuser last updated on 28/Mar/20 $${Can}\:{anyone}\:{pls}\:{check}\: \\ $$$${question}\:{no}.\:\mathrm{76808} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 86328 by M±th+et£s last updated on 28/Mar/20 $$\int\frac{{x}^{\mathrm{2}} −\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }}\:{dx} \\ $$ Answered by TANMAY PANACEA. last updated on 28/Mar/20 $$\int\frac{\mathrm{1}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }}{\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}}…