Category: Integration

Question Number 115051 by gab last updated on 23/Sep/20 $$\int x^2\sqrt{x^2-2}dx$$ Commented by Dwaipayan Shikari last updated on 23/Sep/20 $$\int\mathrm{2}\sqrt{\mathrm{2}}{sin}^{\mathrm{2}} \theta{cos}\theta\sqrt{\mathrm{2}{sin}^{\mathrm{2}} \theta−\mathrm{2}}\:{d}\theta\:\:\:\:\:\:\:\:\:\:\:{x}=\sqrt{\mathrm{2}}{sin}\theta\:\Rightarrow\mathrm{1}=\sqrt{\mathrm{2}}\:{cos}\theta\frac{{d}\theta}{{dx}}\:…

Question Number 115026 by jm2bok last updated on 23/Sep/20 $$\mathrm{Solve}:{\int }_{1/\pi }^{1/2}\ln \lfloor \frac{1}{x}\rfloor dx$$ Answered by PRITHWISH SEN 2 last updated on 23/Sep/20 $$\mathrm{when} \…

Question Number 115000 by mnjuly1970 last updated on 22/Sep/20 $$\dots .nicemath\dots$$$$$$$$ify={\left(cos\left(2x\right)\right)}^{-\frac{1}{2}}then$$$$prove::y+y^{{}^{″}}=3y^5$$$$$$$$\dots m.n.july.1970\dots$$ Answered…

Question Number 180471 by universe last updated on 12/Nov/22 Commented by Sheshdevsahu last updated on 12/Nov/22 $$\mathbf{if}{\mathbf{i}}^{\prime }\mathbf{m}\mathbf{not}\mathbf{wrong},\mathbf{this}\mathbf{similar}\mathbf{type}\mathbf{of}\mathbf{question}\mathbf{was}$$$$\mathbf{asked}\mathbf{in}\mathbf{jee}\left(\mathbf{advanced}\right)\left(\mathbf{India}\right).$$ Terms of Service Privacy…

Question Number 49392 by ajfour last updated on 06/Dec/18 Answered by mr W last updated on 08/Dec/18 $$letm=\tan \theta$$$$eqn.ofline:$$$$y=m(x+a)$$$${kx}^{\mathrm{2}} ={m}\left({x}+{a}\right)…