Category: Integration

Question Number 5882 by sanusihammed last updated on 03/Jun/16 $$\int {cosh}^n\left(x\right)dx$$$$$$$$pleasehelp.$$ Answered by Yozzii last updated on 03/Jun/16 $${cosh}^{{n}}…

Question Number 136942 by Mathspace last updated on 28/Mar/21 $$calculate{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{x^{2}dx}{{(x^2-2x+5)}^3}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 136935 by metamorfose last updated on 27/Mar/21 $$\int cos\left(x\right)e^{cos\left(x\right)+sin\left(x\right)}dx=\dots ?$$ Answered by liberty last updated on 27/Mar/21 $$\int \cos \mathrm{x}.{\mathrm{e}}^{\cos \mathrm{x}}.{\mathrm{e}}^{\sin \mathrm{x}}\mathrm{dx}=$$$$\mathrm{by}\:\mathrm{parts}…

Question Number 136921 by mnjuly1970 last updated on 27/Mar/21 $$evaluationof::\mathit{\varphi }={\int }_0^1\frac{xln(1+x)}{1+x^2}dx$$$$solution:$$$$\:\:\:\:\boldsymbol{\phi}\overset{{I}.{B}.{P}\:} {=}\left[\frac{\mathrm{1}}{\mathrm{2}}{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){ln}\left(\mathrm{1}+{x}\right)\right]_{\mathrm{0}} ^{\mathrm{1}} −\frac{\mathrm{1}}{\mathrm{2}}\left\{\int_{\mathrm{0}} ^{\:\mathrm{1}} \frac{{ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}{\mathrm{1}+{x}}{dx}=\boldsymbol{\Phi}\right\} \…

Question Number 5838 by gourav~ last updated on 31/May/16 $$\int \frac{1}{1+\cot x}dx$$ Commented by Yozzii last updated on 31/May/16 $$\frac{1}{1+cotx}=\frac{sinx}{cosx+sinx}$$$$Lett=tan0.5x\Rightarrow dt=0.5{sec}^{2}0.5dx$$$${dx}=\frac{\mathrm{2}}{\mathrm{1}+{t}^{\mathrm{2}}…