Category: Integration

Question Number 113565 by bemath last updated on 14/Sep/20 Answered by bobhans last updated on 14/Sep/20 $$\int ({5\mathrm{x}}^2+10){({\mathrm{x}}^3+6\mathrm{x})}^3\mathrm{dx}=$$$$\int\mathrm{5}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{2}\right)\left(\mathrm{x}^{\mathrm{3}} +\mathrm{6x}\right)^{\mathrm{3}} \mathrm{dx}=…

Question Number 179066 by cortano1 last updated on 24/Oct/22 $$\mathrm{If}\mathrm{f}\left(\mathrm{x}\right)=\int \frac{{\mathrm{x}}^2}{{\mathrm{x}}^2+\tan \mathrm{x}}\mathrm{dx}$$$$\mathrm{then}\int \frac{\tan \mathrm{x}}{{\mathrm{x}}^2+\tan \mathrm{x}}\mathrm{dx}=?$$ Answered by Ar Brandon last updated on 24/Oct/22…

Question Number 179042 by mnjuly1970 last updated on 23/Oct/22 Answered by Ar Brandon last updated on 23/Oct/22 $${I}=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{cos}^{\mathrm{2}} {x}}{\mathrm{sin}^{\mathrm{4}} {x}+\mathrm{cos}^{\mathrm{2}} {x}}{dx}=\int_{\mathrm{0}} ^{\infty} \frac{{dt}}{{t}^{\mathrm{4}}…

Question Number 178988 by cortano1 last updated on 23/Oct/22 $$\mathrm{C}=\underset{0}{\stackrel{\pi /2}{\int }}\frac{\cos {}^2\mathrm{x}}{4\sin {}^2\mathrm{x}+\cos {}^2\mathrm{x}}\mathrm{dx}=?$$ Answered by qaz last updated on 23/Oct/22 $${C}=\int_{\mathrm{0}}…

Question Number 113421 by AbhishekBasnet last updated on 13/Sep/20 Commented by Tony6400 last updated on 13/Sep/20 Are u sure of ur question Commented by AbhishekBasnet last updated on 13/Sep/20 Terms…