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Author: Tinku Tara

pi-4-pi-4-sec-x-e-x-1-dx-

Question Number 128610 by john_santu last updated on 08/Jan/21 $$\int_{−\pi/\mathrm{4}} ^{\:\pi/\mathrm{4}} \frac{\mathrm{sec}\:\mathrm{x}}{\mathrm{e}^{\mathrm{x}} +\mathrm{1}}\:\mathrm{dx}\: \\ $$ Commented by liberty last updated on 09/Jan/21 $$\mathrm{I}=−\int_{−\pi/\mathrm{4}} ^{\:\pi/\mathrm{4}} \frac{\mathrm{sec}\:\left(−\mathrm{x}\right)}{\mathrm{e}^{−\mathrm{x}}…

write-the-equation-of-the-circle-which-containing-the-points-4-3-1-2-and-center-on-line-3x-4y-7-

Question Number 128611 by malwan last updated on 08/Jan/21 $${write}\:{the}\:{equation}\:{of}\:{the}\: \\ $$$${circle}\:{which}\:{containing}\: \\ $$$${the}\:{points}\:\left(\mathrm{4},−\mathrm{3}\right),\left(\mathrm{1},−\mathrm{2}\right) \\ $$$${and}\:{center}\:{on}\:{line} \\ $$$$\mathrm{3}{x}\:+\:\mathrm{4}{y}\:=\mathrm{7} \\ $$ Answered by mr W last…

x-2-tan-1-x-2-dx-

Question Number 128608 by john_santu last updated on 08/Jan/21 $$\int\:\mathrm{x}^{\mathrm{2}} .\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{x}}{\mathrm{2}}\right)\mathrm{dx}=? \\ $$ Answered by liberty last updated on 08/Jan/21 $$\mathcal{L}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\mathrm{x}^{\mathrm{3}} .\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{x}}{\mathrm{2}}\right)−\frac{\mathrm{1}}{\mathrm{3}}\int\frac{\mathrm{x}^{\mathrm{3}} \left(\frac{\mathrm{1}}{\mathrm{2}}\right)}{\mathrm{1}+\frac{\mathrm{x}^{\mathrm{2}}…

lim-x-0-x-cot-x-1-x-2-

Question Number 128607 by john_santu last updated on 08/Jan/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{x}.\mathrm{cot}\:\mathrm{x}−\mathrm{1}}{\mathrm{x}^{\mathrm{2}} }=? \\ $$ Answered by malwan last updated on 08/Jan/21 $$\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\frac{\frac{{x}}{{tan}\:{x}}\:−\:\mathrm{1}}{{x}^{\mathrm{2}} }\:=\:\underset{{x}\rightarrow\mathrm{0}} {{lim}}\:\frac{{x}−{tan}\:{x}}{{x}^{\mathrm{2}}…

lim-x-1-x-x-x-ln-x-x-1-

Question Number 128604 by john_santu last updated on 08/Jan/21 $$\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{x}} −\mathrm{x}}{\mathrm{ln}\:\mathrm{x}−\mathrm{x}+\mathrm{1}}\:? \\ $$ Answered by liberty last updated on 09/Jan/21 $$\:\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{x}^{\mathrm{x}} \right)=\mathrm{x}^{\mathrm{x}} \left(\mathrm{ln}\:\mathrm{x}+\mathrm{1}\right) \\…

lim-x-1-x-x-2-1-x-x-2-

Question Number 128605 by john_santu last updated on 08/Jan/21 $$\:\underset{{x}\rightarrow−\infty} {\mathrm{lim}}\:\sqrt{\mathrm{1}+\mathrm{x}+\mathrm{x}^{\mathrm{2}} }−\sqrt{\mathrm{1}−\mathrm{x}+\mathrm{x}^{\mathrm{2}} }=? \\ $$ Commented by john_santu last updated on 08/Jan/21 Answered by mathmax…

Question-63060

Question Number 63060 by rajesh4661kumar@gamil.com last updated on 28/Jun/19 Answered by Hope last updated on 28/Jun/19 $$\sqrt{\frac{\left(\mathrm{1}+{cos}\theta\right)^{\mathrm{2}} }{{sin}^{\mathrm{2}} \theta}}\: \\ $$$$=\mid\frac{\mathrm{1}+{cos}\theta}{{sin}\theta}\mid \\ $$$$=\frac{\mid\mathrm{1}+{cos}\theta\mid}{\mid{sin}\theta\mid} \\ $$$${when}\:\:\:\pi>\theta>\mathrm{0}\:\:{so}\:{sin}\theta=+{ve}…