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Author: Tinku Tara

Question-85709

Question Number 85709 by otchereabdullai@gmail.com last updated on 24/Mar/20 Answered by MJS last updated on 24/Mar/20 $$\mathrm{we}\:\mathrm{had}\:\mathrm{this}\:\mathrm{many}\:\mathrm{times}\:\mathrm{before} \\ $$$$\mathrm{the}\:\mathrm{posts}\:\mathrm{are}\:\mathrm{50},\:\mathrm{the}\:\mathrm{cable}\:\mathrm{is}\:\mathrm{80},\:\mathrm{the}\:\mathrm{space} \\ $$$$\mathrm{under}\:\mathrm{the}\:\mathrm{cable}\:\mathrm{is}\:\mathrm{10} \\ $$$$\Rightarrow \\ $$$$\mathrm{the}\:\mathrm{effective}\:\mathrm{height}\:\mathrm{of}\:\mathrm{the}\:\mathrm{poles}\:\mathrm{is}\:\mathrm{40}\:\Rightarrow…

Question-151241

Question Number 151241 by bagjagugum123 last updated on 19/Aug/21 Answered by hknkrc46 last updated on 19/Aug/21 $$\left(\mathrm{2}\right)\:\mid\mathrm{2}\boldsymbol{{x}}\:−\:\mathrm{3}\mid\:<\:\mid\boldsymbol{{x}}\:−\:\mathrm{1}\mid \\ $$$$\:\:\:\:\:\:\:\Rightarrow\:\left(\mathrm{2}\boldsymbol{{x}}\:−\:\mathrm{3}\right)^{\mathrm{2}} \:<\:\left(\boldsymbol{{x}}\:−\:\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\Rightarrow\:\mathrm{4}\boldsymbol{{x}}^{\mathrm{2}} \:−\:\mathrm{12}\boldsymbol{{x}}\:+\:\mathrm{9}\:<\:\boldsymbol{{x}}^{\mathrm{2}} \:−\:\mathrm{2}\boldsymbol{{x}}\:+\:\mathrm{1} \\…

please-solve-it-integrate-with-respect-to-x-5x-2-3x-2-2x-1-

Question Number 20167 by tammi last updated on 23/Aug/17 $${please}\:{solve}\:{it} \\ $$$${integrate}\:{with}\:{respect}\:{to}\:{x} \\ $$$$\int\frac{\mathrm{5}{x}−\mathrm{2}}{\mathrm{3}{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1}} \\ $$ Answered by ajfour last updated on 23/Aug/17 $$=\frac{\mathrm{1}}{\mathrm{3}}\int\frac{\left(\mathrm{5}/\mathrm{2}\right)\left(\mathrm{2}{x}+\mathrm{2}/\mathrm{3}\right)−\mathrm{11}/\mathrm{3}}{\left({x}+\mathrm{1}/\mathrm{3}\right)^{\mathrm{2}}…

cosec-2-xdx-

Question Number 20166 by tammi last updated on 23/Aug/17 $$\int\mathrm{cosec}\:^{\mathrm{2}} {xdx} \\ $$ Answered by sma3l2996 last updated on 23/Aug/17 $${t}={cosecx}\Rightarrow{dt}=−\frac{{cosec}^{\mathrm{2}} {x}}{{secx}}{dx} \\ $$$${cosec}^{\mathrm{2}} {xdx}=−\frac{{tdt}}{\:\sqrt{{t}^{\mathrm{2}}…

3x-1-2x-1-dx-

Question Number 85701 by jagoll last updated on 24/Mar/20 $$\int\:\frac{\sqrt{\mathrm{3x}−\mathrm{1}}}{\:\sqrt{\mathrm{2x}+\mathrm{1}}}\:\mathrm{dx}\: \\ $$ Commented by john santu last updated on 24/Mar/20 $${let}\:{t}\:=\:\sqrt{\mathrm{2}{x}+\mathrm{1}}\:\Rightarrow\:{x}\:=\:\frac{{t}^{\mathrm{2}} −\mathrm{1}}{\mathrm{2}} \\ $$$$\int\:\frac{\sqrt{\frac{\mathrm{3}{t}^{\mathrm{2}} −\mathrm{3}}{\mathrm{2}}−\mathrm{1}}}{{t}}×{t}\:{dt}\:=\:…