Category: Integration

Question Number 178550 by cortano1 last updated on 18/Oct/22 Answered by Ar Brandon last updated on 18/Oct/22 $$I={\int }_{\frac{\pi }{12}}^{\frac{\pi }{8}}\frac{(7+\cos 4\vartheta )\cos 2\vartheta }{1-\cos 4\vartheta }{\left(\frac{9-\cos 4\vartheta }{\sin 2\vartheta }\right)}^{2021}d\vartheta$$$$\:\:=\int_{\frac{\pi}{\mathrm{12}}} ^{\frac{\pi}{\mathrm{8}}} \frac{\left(\mathrm{6}+\mathrm{2cos}^{\mathrm{2}}…

Question Number 112997 by malwan last updated on 10/Sep/20 $$\int \frac{tanxdx}{\sqrt{{sec}^{3}x+1}}=?$$ Commented by MJS_new last updated on 10/Sep/20 $$\mathrm{sorry}\mathrm{I}{\mathrm{haven}}^{\prime }\mathrm{t}\mathrm{got}\mathrm{the}\mathrm{time}\mathrm{to}\mathrm{finish}\mathrm{it}\mathrm{but}$$$$\mathrm{the}\mathrm{path}\mathrm{is}$$$$\int\frac{\mathrm{tan}\:{x}}{\:\sqrt{\mathrm{sec}^{\mathrm{3}}…

Question Number 178487 by cortano1 last updated on 17/Oct/22 $$\int \frac{dx}{\cot {}^{3}x\sin {}^{7}x}=?$$ Answered by Frix last updated on 18/Oct/22 $$\int\frac{{dx}}{\mathrm{cot}^{\mathrm{3}} \:{x}\:\mathrm{sin}^{\mathrm{7}} \:{x}}=\int\frac{{dx}}{\mathrm{cos}^{\mathrm{3}} \:{x}\:\mathrm{sin}^{\mathrm{4}}…

Question Number 47376 by vajpaithegrate@gmail.com last updated on 09/Nov/18 Answered by MJS last updated on 09/Nov/18 $$f_1:y=x^2-5x+4$$$$f_2:y=1-x$$$${f}_{\mathrm{3}} :\:{y}=\mathrm{0}…

Question Number 112854 by mnjuly1970 last updated on 10/Sep/20 $$\dots .mathematicalanalysis\dots .$$$$$$$$pleasesolve::$$$$$$$$\mathrm{\Omega }={\int }_0^{\mathrm{\infty }}\frac{x^{\frac{4}{5}}-x^{\frac{2}{3}}}{(1+x^2)ln\left(x\right)}dx=???$$$$…