Category: Integration

Question Number 97130 by Quadri last updated on 06/Jun/20 Answered by Sourav mridha last updated on 06/Jun/20 $$=\frac{\mathrm{1}}{\mathrm{2}\boldsymbol{{ln}}\left(\mathrm{2}\right)}\int\frac{\boldsymbol{{d}}\left(\mathrm{1}+\mathrm{2}^{\boldsymbol{{x}}^{\mathrm{2}} } \right)}{\left(\mathrm{1}+\mathrm{2}^{\boldsymbol{{x}}^{\mathrm{2}} } \right)}=\frac{\mathrm{1}}{\boldsymbol{{ln}}\left(\mathrm{4}\right)}.\boldsymbol{{ln}}\left(\mathrm{1}+\mathrm{2}^{\boldsymbol{{x}}^{\mathrm{2}} } \right)+\boldsymbol{{c}} \…

Question Number 97091 by Mathudent last updated on 06/Jun/20 $$solve\int x^{x+1}dx.$$ Answered by Sourav mridha last updated on 06/Jun/20 $$\int {\mathit{e}}^{(\mathit{x}+1).\mathit{l}\mathrm{n}\left(\mathit{x}\right)}\mathit{d}\mathit{x}$$$$=\int\underset{\boldsymbol{{n}}=\mathrm{0}}…

Question Number 97082 by bobhans last updated on 06/Jun/20 Answered by john santu last updated on 06/Jun/20 Commented by bobhans last updated on 06/Jun/20 $$\mathrm{thank}\:\mathrm{you}…

Question Number 97059 by mhmd last updated on 06/Jun/20 Commented by PRITHWISH SEN 2 last updated on 06/Jun/20 $$\mathrm{let}$$$$\frac{{\mathrm{x}}^2+1}{{\sin }^{-1}\mathrm{x}-1}=\mathrm{v}\left(\mathrm{x}\right)$$$$\mathrm{then}\:\mathrm{v}^{'}…

Question Number 31517 by abdo imad last updated on 09/Mar/18 $$find{\int }_{-1}^1\frac{dx}{\sqrt{1+x}+\sqrt{1-x}}.$$ Commented by abdo imad last updated on 12/Mar/18 $${let}\:{put}\:{I}\left(\xi\right)\:=\int_{−\mathrm{1}+\xi} ^{\mathrm{1}+\xi}…