Category: Integration

Question Number 42189 by maxmathsup by imad last updated on 19/Aug/18 $$calculatef\left(x\right)={\int }_0^{\mathrm{\infty }}{e}^{-t^2}arctan\left({xt}^2\right)dt$$ Terms of Service Privacy Policy Contact:…

Question Number 107695 by bemath last updated on 12/Aug/20 $$\mathrm{♠}\mathcal{B}e\mathcal{M}ath\mathrm{♠}$$$$\underset{0}{\stackrel{1}{\int }}\frac{x-1}{(x+1)\ln x}dx?$$ Answered by mnjuly1970 last updated on 12/Aug/20 $${ans}:={ln}\left(\frac{\mathrm{2}}{\pi}\right)\: \…

Question Number 107656 by bemath last updated on 12/Aug/20 Answered by john santu last updated on 12/Aug/20 $$\divideontimes \mathcal{JS}\divideontimes$$$$\{\begin{array}{l}\lambda =1+x\sqrt{x}\\ dx=\frac{2d\lambda }{3\sqrt{x}}\end{array}$$$$I=\int \sqrt{x}\sqrt{1+x\sqrt{x}}dx$$$${I}=\:\int\:\sqrt{{x}}\:\sqrt{\lambda}\:\left(\frac{\mathrm{2}{d}\lambda}{\mathrm{3}\sqrt{{x}}}\right)=\int\frac{\mathrm{2}}{\mathrm{3}}\lambda^{\frac{\mathrm{1}}{\mathrm{2}}} \:{d}\lambda…

Question Number 107624 by mnjuly1970 last updated on 11/Aug/20 $$pleaseprove:$$$$\mathrm{A},\mathrm{B},Careanglesof$$$$triangle.$$$$\sum _{cylic}\frac{sinA+sinB}{cosc}⩾8cos\frac{A}{2}cos\frac{B}{2}cos\frac{C}{2}$$$$$$ Terms of Service Privacy…

Question Number 42085 by maxmathsup by imad last updated on 17/Aug/18 $$calculate{\int }_1^{+\mathrm{\infty }}\frac{2x+1}{3+{(x+1)}^3}dx$$ Commented by maxmathsup by imad last updated on…