Question Number 204278 by liuxinnan last updated on 11/Feb/24 $$\mathrm{cos}\:{x}+\mathrm{cos}\:\mathrm{3}{x}+\mathrm{cos}\:\mathrm{5}{x}=\sqrt{\mathrm{2}}+\mathrm{1} \\ $$$$\mathrm{sin}\:{x}+\mathrm{sin3}{x}+\:\mathrm{sin}\:\mathrm{5}{x}=\mathrm{1} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}=? \\ $$ Commented by mr W last updated on 11/Feb/24 $${eq}.\left({i}\right)\:{and}\:{eq}.\left({ii}\right)\:{are}\:{not}\:{consistent}.…
Question Number 204279 by liuxinnan last updated on 11/Feb/24 Commented by liuxinnan last updated on 11/Feb/24 $${a}\:{beautiful}\:{image} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 204264 by SANOGO last updated on 10/Feb/24 $$\underset{} {\int}{ln}\left(\mathrm{1}−{x}^{\mathrm{2}} \right){dx} \\ $$ Answered by witcher3 last updated on 10/Feb/24 $$\mathrm{by}\:\mathrm{part}\:\mathrm{u}=\mathrm{ln}\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right);\mathrm{v}'\left(\mathrm{x}\right)=\mathrm{1} \\ $$$$=\mathrm{xln}\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}}…
Question Number 204262 by DEGWE last updated on 10/Feb/24 Answered by Frix last updated on 10/Feb/24 $$\mathrm{Charles}−\mathrm{Ange}\:\mathrm{LAISANT}\:\left(\mathrm{1905}\right): \\ $$$$\int{f}^{−\mathrm{1}} \left({x}\right){dx}={xf}^{−\mathrm{1}} \left({x}\right)−\left({F}\circ{f}^{−\mathrm{1}} \right)\left({x}\right)+{C} \\ $$$$\mathrm{with}\:{F}\left({x}\right)=\int{f}\left({x}\right){dx} \\…
Question Number 204236 by Panav last updated on 09/Feb/24 $$\boldsymbol{{Helpful}}\:\boldsymbol{{questionfor}}\:\boldsymbol{{Olympiads}},\:\boldsymbol{{Find}}\:\boldsymbol{{Sol}}^{\boldsymbol{{n}}} . \\ $$ Commented by Panav last updated on 09/Feb/24 Answered by JDamian last updated…
Question Number 204230 by Davidtim last updated on 09/Feb/24 $${what}\:{does}\:{mean}\:{that}\:{we}\:{say}\:{C}^{°} ={F}^{°} \\ $$$${in}\:−\mathrm{40}? \\ $$ Commented by mr W last updated on 10/Feb/24 $${generally}\:{the}\:{temperature}\:{value}\:{in} \\…
Question Number 204226 by MathedUp last updated on 09/Feb/24 $$\mathrm{God}\:\mathrm{Damn}\:\mathrm{it}\:\mathrm{why}\:\mathrm{my}\:\mathrm{Integration}\:\mathrm{Test}\:\mathrm{is}\:\mathrm{Wrong}? \\ $$$$\underset{{h}=\mathrm{0}} {\overset{\infty} {\sum}}\:{h}\centerdot{J}_{\nu} \left({h}\right)\:\mathrm{is}\:\mathrm{Conv}?? \\ $$$$\mathrm{Laplace}\:\mathrm{transform}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{st}} \centerdot \\ $$$$\mathrm{We}\:\mathrm{already}\:\mathrm{Know}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{st}} {J}_{\nu}…
Question Number 204227 by abdomath last updated on 09/Feb/24 Answered by AST last updated on 09/Feb/24 $${Let}\:{y}={f}\left({x}\right)\Rightarrow{x}^{\mathrm{2}} {y}^{\mathrm{3}} =\left({x}+{y}\right)^{\mathrm{5}} \Rightarrow{x}^{\mathrm{2}} \left[{f}\left({x}\right)\right]^{\mathrm{3}} =\left({x}+{f}\left({x}\right)\right)^{\mathrm{5}} \\ $$$$\Rightarrow\frac{{d}}{{dx}}\left({x}^{\mathrm{2}} \left[{f}\left({x}\right)\right]^{\mathrm{3}}…
Question Number 204180 by naka3546 last updated on 08/Feb/24 $$\mathrm{Solve}\:\:\mathrm{this}. \\ $$$$ \\ $$$$\frac{{x}+{y}−{a}}{{x}+{y}−{b}}\:\centerdot\:\frac{{dy}}{{dx}}\:=\:\frac{{x}+{y}+{a}}{{x}+{y}+{b}} \\ $$ Answered by mr W last updated on 08/Feb/24 $${u}={x}+{y}…
Question Number 204157 by esmaeil last updated on 07/Feb/24 $${hello}\:{frinds} \\ $$$${I}\:{have}\:{a}\:{question} \\ $$$${when}\:{the}\:{most}\:{accurate}\:{math}\:{sofward} \\ $$$${it}\:{solves}\:{the}\:{most}\:{complex}\:{math} \\ $$$${problems}\:.{what}\:{is}\:{the}\:{need}\:{for}\:{us} \\ $$$${to}\:{spend}\:{hours}\:{to}\:{solve}\:{that}? \\ $$$$\left({Ofcourse}\:{i}\:{myself}\:{love}\:{math}\right) \\ $$$$\left({sorry}\:{i}'{m}\:{bad}\:{in}\:{english}\right) \\…