Question Number 214568 by Ikbal last updated on 12/Dec/24 $$\int\frac{{b}+{ax}}{\mathrm{1}+\mathrm{sin}\:{x}}\:{dx} \\ $$ Answered by MathematicalUser2357 last updated on 18/Dec/24 $$\int\frac{{ax}+{b}}{\mathrm{sin}\:{x}+\mathrm{1}}{dx} \\ $$$$=\int\frac{\left({ax}+{b}\right)\mathrm{sec}\:{x}}{\mathrm{tan}\:{x}+\mathrm{sec}\:{x}}{dx} \\ $$$$=−\frac{{ax}+{b}}{\mathrm{tan}\:{x}+\mathrm{sec}\:{x}}+\int\frac{{a}}{\mathrm{tan}\:{x}+\mathrm{sec}\:{x}}{dx} \\…
Question Number 214569 by Atomic_30 last updated on 12/Dec/24 Answered by TonyCWX08 last updated on 12/Dec/24 $${What}\:{do}\:{you}\:{want}? \\ $$ Answered by MathematicalUser2357 last updated on…
Question Number 214566 by mr W last updated on 12/Dec/24 $${somebody}\:{has}\:{posted}\:{following} \\ $$$${question}\:{and}\:{then}\:{deleted}\:{it}\:{again}. \\ $$$$\begin{cases}{{u}_{{n}+\mathrm{1}} =\frac{\mathrm{4}{u}_{{n}} −\mathrm{9}}{{u}_{{n}} −\mathrm{2}}}\\{{u}_{\mathrm{0}} =\mathrm{5}}\end{cases} \\ $$$${find}\:{u}_{{n}} =?\:\left({or}\:{something}\:{like}\:{this}\right) \\ $$ Answered…
Question Number 214560 by ajfour last updated on 12/Dec/24 $$\int_{\mathrm{1}} ^{\:\:{x}} \frac{\mathrm{ln}\:{x}}{\:\sqrt{\mathrm{1}−\left(\mathrm{ln}\:{x}\right)^{\mathrm{2}} }}{dx} \\ $$ Answered by MathematicalUser2357 last updated on 18/Dec/24 $$\:\cancel{\lesseqgtr} \\ $$…
Question Number 214563 by MathematicalUser2357 last updated on 12/Dec/24 $$ \\ $$ Commented by mr W last updated on 12/Dec/24 $${you}\:{don}'{t}\:{need}\:{to}\:{make}\:{problems}, \\ $$$$\left.{but}\:{just}\:{to}\:{solve}\:{them}\::\right) \\ $$…
Question Number 214511 by issac last updated on 11/Dec/24 $$\mathrm{Let}'\mathrm{s}\:{R}\left({z}\right)\:\mathrm{define}\:\mathrm{as}\: \\ $$$${R}\left({z}\right)=\frac{\pi\:\int_{\mathrm{0}} ^{\:{z}} \:{f}^{\mathrm{2}} \left({t}\right)\mathrm{d}{t}}{\mathrm{2}\pi\:\int_{\mathrm{0}} ^{\:{z}} \:{f}\left({t}\right)\sqrt{\mathrm{1}+\left({f}^{\left(\mathrm{1}\right)} \left({t}\right)\right)^{\mathrm{2}} }\mathrm{d}{t}} \\ $$$$\mathrm{and}\:\mathrm{both}\:\mathrm{integral} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \:{f}^{\:\mathrm{2}}…
Question Number 214536 by ajfour last updated on 11/Dec/24 Commented by ajfour last updated on 11/Dec/24 $${Out}\:{of}\:{questions}\:{labelled}\:{by}\:{just} \\ $$$${permutations}\:{of}\:{digits}\:{of}\:{the}\:{number} \\ $$$$\mathrm{123456}\:\:\:{what}\:{rank}\:{does}\:{this}\:{Q}\:{hold}? \\ $$$${In}\:{increasing}\:{order},\:{that}\:{is}. \\ $$…
Question Number 214516 by MathematicalUser2357 last updated on 11/Dec/24 $$\mathrm{Hey}\:\mathrm{Tinku}\:\mathrm{Tara}, \\ $$$$\mathrm{I}\:\mathrm{got}\:\mathrm{some}\:\mathrm{plot}\:\mathrm{issues}. \\ $$$$\mathrm{When}\:\mathrm{I}\:\mathrm{click}\:\mathrm{the}\:\mathrm{plot}\:\mathrm{button},\:\mathrm{it}\:\mathrm{displays}\:\mathrm{the}\:\mathrm{error}\:\mathrm{message} \\ $$$$“\mathrm{Check}\:\mathrm{if}\:\mathrm{the}\:\mathrm{variable}\:\mathrm{name}\:\mathrm{is}\:{x}\:\mathrm{and}\:\mathrm{you}\:\mathrm{are}\:\mathrm{logged}\:\mathrm{in}.''. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 214514 by malwan last updated on 11/Dec/24 $$ \\ $$ Commented by MathematicalUser2357 last updated on 11/Dec/24 $$\mathrm{Notice}\:\mathrm{board}\:\mathrm{miss}…! \\ $$ Commented by mr…
Question Number 214509 by depressiveshrek last updated on 10/Dec/24 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{the}\:\mathrm{solid}\:\mathrm{of}\:\mathrm{revolution} \\ $$$$\mathrm{generated}\:\mathrm{by}\:\mathrm{rotating}\:\mathrm{the}\:\mathrm{area}\:\mathrm{bounded} \\ $$$$\mathrm{by}\:{y}={x}\left(\mathrm{2}−{x}\right)\:\mathrm{and}\:{y}={x}\:\mathrm{about}\:\mathrm{the}\:\mathrm{y}−\mathrm{axis}. \\ $$ Commented by mr W last updated on 11/Dec/24 $${you}\:{seem}\:{never}\:{to}\:{give}\:{any}\:{feedback}…