Category: Relation and Functions

Question Number 144241 by mathmax by abdo last updated on 23/Jun/21 $$\mathrm{calculate}{\int }_0^{4\pi }\frac{\mathrm{dx}}{{(2+\mathrm{cosx})}^2}$$ Answered by Ar Brandon last updated on 05/Jul/21…

Question Number 144220 by Mathspace last updated on 23/Jun/21 $$find{A}_n={\int }_0^{1}arctan\left(x^n\right)dx$$$$n\in N$$ Answered by mathmax by abdo last updated…

Question Number 78685 by berket last updated on 19/Jan/20 $$isg=\{(1.1).(2.3).(3.5).(4.7)\}afunction?justifyifthisisdescribedbytherelationg\left(x\right)=ax+bthenwhatvaluesshouldbeassignedtoaandb?$$ Commented by mr W last updated on 19/Jan/20 $$sir:please{don}^{\prime }ttypethewholepostin$$$$onesingleline!{it}^{\prime }sterribletoread!$$…

Question Number 144216 by Mathspace last updated on 23/Jun/21 $$find\int \frac{dx}{\sqrt{x^2+x+2}+\sqrt{x^2-x+2}}$$ Answered by bemath last updated on 23/Jun/21 $$\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{2}}+\sqrt{\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{2}}}\:=\:\frac{\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{x}+\mathrm{2}}−\sqrt{\mathrm{x}^{\mathrm{2}}…

Question Number 144213 by Mathspace last updated on 23/Jun/21 $$find\int \frac{dx}{1+cosx+cos\left(2x\right)}$$ Answered by bemath last updated on 23/Jun/21 $$\int \frac{\mathrm{dx}}{1+\cos \mathrm{x}+2\cos {}^2\mathrm{x}-1}$$$$=\:\int\:\frac{\mathrm{dx}}{\mathrm{2cos}\:^{\mathrm{2}} \mathrm{x}+\mathrm{cos}\:\mathrm{x}} \…