Category: Differentiation

Question Number 146602 by mnjuly1970 last updated on 14/Jul/21 Answered by qaz last updated on 15/Jul/21 $$\int \frac{1-\cos \left(12\mathrm{x}\right)}{2\sin \mathrm{x}}\mathrm{dx}=\int \frac{\sin {}^2\left(6\mathrm{x}\right)}{\sin \mathrm{x}}\mathrm{dx}$$$$=4\int \frac{{\left[\sin \left(3\mathrm{x}\right)\cos \left(3\mathrm{x}\right)\right]}^2}{\sin \mathrm{x}}\mathrm{dx}$$$$=\mathrm{4}\int\frac{\left[\left(\mathrm{3sin}\:\mathrm{x}−\mathrm{4sin}\:^{\mathrm{3}} \mathrm{x}\right)\left(\mathrm{4cos}\:^{\mathrm{3}} \mathrm{x}−\mathrm{3cos}\:\mathrm{x}\right)\right]^{\mathrm{2}}…

Question Number 146442 by qaz last updated on 13/Jul/21 $$\frac{\mathrm{d}}{\mathrm{dn}}{\mid }_{\mathrm{n}=1}{\mathrm{H}}_{\mathrm{n}}=?$$ Answered by mnjuly1970 last updated on 13/Jul/21 $$=\:\frac{{d}}{{dn}}\left(\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{\mathrm{1}−{x}^{\:{n}} }{\mathrm{1}−{x}}\right)=\int_{\mathrm{0}}…

Question Number 146366 by liberty last updated on 13/Jul/21 Answered by iloveisrael last updated on 13/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 146300 by akolade last updated on 12/Jul/21 Answered by nimnim last updated on 12/Jul/21 $$cosB=\frac{a^2+c^2-b^2}{2ac}$$$$\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\left({n}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} +\left({n}^{\mathrm{2}} −\mathrm{2}{n}\right)^{\mathrm{2}}…

Question Number 146164 by mnjuly1970 last updated on 11/Jul/21 $$$$$$calulate::$$$$\mathrm{S}:=\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{\mathrm{H}}_{\frac{n}{2}}}{2^n}=?$$$$$$$$\dots \dots .m.n.$$ Answered…