Category: Integration

Question Number 13365 by tawa tawa last updated on 19/May/17 $$\int {\mathrm{e}}^{(\mathrm{x}+{\mathrm{e}}^{\mathrm{x}})}\mathrm{dx}$$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 19/May/17 Commented by tawa…

Question Number 13364 by tawa tawa last updated on 19/May/17 $${\int }_0^{\frac{3\sqrt{3}}{2}}\frac{{\mathrm{x}}^3}{\sqrt{{4\mathrm{x}}^2-9}}\mathrm{dx}$$ Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 19/May/17 $${you}\:{should}\:{change}\:{the}\:{limits}\:{of}\:{integral}.…

Question Number 13362 by tawa tawa last updated on 19/May/17 $$\int \frac{{\mathrm{x}}^3}{\sqrt{16-{\mathrm{x}}^2}}\mathrm{dx}$$ Answered by ajfour last updated on 19/May/17 $${I}=\frac{\mathrm{1}}{\mathrm{2}}\int\:\frac{{x}^{\mathrm{2}} \left(\mathrm{2}{xdx}\right)}{\:\sqrt{\mathrm{16}−{x}^{\mathrm{2}} }}…

Question Number 144431 by imjagoll last updated on 25/Jun/21 $$\int \tan \mathrm{x}\sin {}^2\mathrm{x}\cos {}^3\mathrm{x}\cot {}^4\mathrm{x}\mathrm{dx}=?$$ Answered by iloveisrael last updated on 25/Jun/21 $$\:\int\:\frac{\mathrm{cos}\:^{\mathrm{6}} \mathrm{x}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}}\:\mathrm{dx}\:=\:\int\:\frac{\mathrm{cos}\:^{\mathrm{6}}…

Question Number 144409 by liberty last updated on 25/Jun/21 $$\int \frac{\mathrm{dx}}{(\mathrm{x}+3)\sqrt{1-{\mathrm{x}}^2}}?$$ Answered by iloveisrael last updated on 25/Jun/21 $$\mathrm{let}\mathrm{x}=\sin \mathrm{t}$$$$\mathrm{I}=\int\:\frac{\mathrm{cos}\:\mathrm{t}}{\left(\mathrm{3}+\mathrm{sin}\:\mathrm{t}\right)\sqrt{\mathrm{1}−\mathrm{sin}\:^{\mathrm{2}} \mathrm{t}}}\:\mathrm{dt} \…