Category: Integration

Question Number 146996 by ArielVyny last updated on 17/Jul/21 $$\int ln\left(cht\right)dt$$ Answered by mathmax by abdo last updated on 17/Jul/21 $$\int\:\mathrm{log}\left(\mathrm{cht}\right)\mathrm{dt}\:=\int\:\mathrm{log}\left(\frac{\mathrm{e}^{\mathrm{t}} \:+\mathrm{e}^{−\mathrm{t}} }{\mathrm{2}}\right)\mathrm{dt} \…

Question Number 81432 by abdomathmax last updated on 13/Feb/20 $$find\int \frac{dx}{{(x+1)}^3{(x^2+3)}^2}$$ Commented by abdomathmax last updated on 20/Feb/20 $${let}\:{try}\:{complex}\:{method}\:{I}\:=\int\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} +\mathrm{3}\right)^{\mathrm{2}}…

Question Number 146962 by Sameza last updated on 16/Jul/21 Answered by Olaf_Thorendsen last updated on 16/Jul/21 $$$$$$\mathrm{I}={\int }_0^4\frac{\sqrt{x}}{\sqrt{4-x}-\sqrt{x}}dx\left(1\right)$$$$\mathrm{Let}u=4-x$$$$\mathrm{I}\:=\:\int_{\mathrm{0}}…

Question Number 146933 by mnjuly1970 last updated on 16/Jul/21 $$$$$$\text{You can't use 'macro parameter character \#' in math mode}$$$$$$$$\mathrm{I}:={\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}sin(cosh\left(x\right).cos\left(sinhx\right))dx=?$$$$\dots .solution\dots .$$$$\:\:\:\:\:\:\:\mathrm{I}:=\frac{\mathrm{1}}{\mathrm{2}}\:\int_{−\infty} ^{\:+\infty} \left\{{sin}\:\left({cosh}\left({x}\right)+{sinh}\left({x}\right)\right)+{sin}\left({cosh}\left({x}\right)−{sinh}\:\left({x}\right)\right)\right\} \…

Question Number 15803 by arnabpapu550@gmail.com last updated on 14/Jun/17 $$\int \frac{\mathrm{dx}}{(1+\mathrm{x})\sqrt{(1+\mathrm{x}-{\mathrm{x}}^2)}}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com