Question Number 6131 by love math last updated on 15/Jun/16 $${sin}\:\mathrm{4}{x}+{sin}\mathrm{12}{x}+{sin}\:\mathrm{8}{x} \\ $$ Answered by Irfan hakim last updated on 18/Jun/16 $$\mathrm{sin}\:\mathrm{24}{x} \\ $$ Commented…
Question Number 137203 by mathocean1 last updated on 31/Mar/21 $$\int\:\frac{{ln}\left(\mathrm{1}+{x}\right)}{{x}}=? \\ $$ Answered by Dwaipayan Shikari last updated on 31/Mar/21 $$\int\frac{{log}\left(\mathrm{1}+{x}\right)}{{x}}{dx} \\ $$$$=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{{n}+\mathrm{1}}…
Question Number 71664 by mathmax by abdo last updated on 18/Oct/19 $${find}\:{nature}\:{of}\:{the}\:{sequence}\:{U}_{{n}} =\frac{\mathrm{1}}{{n}}\left(\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}}\right)^{\mathrm{2}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 71665 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left(\sqrt{{x}^{\mathrm{2}} +\mathrm{4}}\right)} \\ $$ Answered by MJS last updated on 19/Oct/19…
Question Number 137197 by Fikret last updated on 30/Mar/21 $$\alpha\:,\:\beta\:\epsilon\:\left(\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\right) \\ $$$${tan}^{\mathrm{2}} \alpha\:=\:\mathrm{1}+\mathrm{2}{tan}^{\mathrm{2}} \beta\:\:\Rightarrow\sqrt{\mathrm{2}}{cos}\alpha−{cos}\beta=? \\ $$ Answered by MJS_new last updated on 31/Mar/21 $$\mathrm{cos}\:{x}\:=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \:{x}}}…
Question Number 71663 by mathmax by abdo last updated on 18/Oct/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\frac{{dx}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{2}\right)….\left({x}^{\mathrm{2}} \:+{n}\right)} \\ $$$${with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{1} \\ $$ Commented by mathmax…
Question Number 137192 by bobhans last updated on 30/Mar/21 $$\int\:\frac{\mathrm{cos}\:\mathrm{x}}{\mathrm{1}+\mathrm{cos}\:\mathrm{x}+\mathrm{sin}\:\mathrm{x}}\:\mathrm{dx}\:=? \\ $$ Answered by bemath last updated on 30/Mar/21 Answered by mathmax by abdo last…
Question Number 6121 by sanusihammed last updated on 15/Jun/16 $$\int\sqrt{{ln}\left({sinx}\right){dx}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 6118 by sanusihammed last updated on 15/Jun/16 $$\int{x}^{{x}} \:{dx} \\ $$ Commented by FilupSmith last updated on 15/Jun/16 $$\mathrm{ANSWER}: \\ $$$${x}^{{x}} ={e}^{{x}\mathrm{ln}\left({x}\right)} \\…