Category: Integration

Question Number 44423 by peter frank last updated on 28/Sep/18 $$evaluate\int 3^{x}dx$$ Answered by MrW3 last updated on 28/Sep/18 $$\int 3^{x}dx$$$$=\int{e}^{{x}\mathrm{ln}\:\mathrm{3}}…

Question Number 175471 by mnjuly1970 last updated on 31/Aug/22 Answered by Ar Brandon last updated on 31/Aug/22 $$\Omega=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{sin2}{x}\mathrm{ln}^{\mathrm{2}} \left(\mathrm{1}+\mathrm{cos}{x}\right){dx}=\mathrm{2}\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \mathrm{sin}{x}\mathrm{cos}{x}\mathrm{ln}^{\mathrm{2}} \left(\mathrm{1}+\mathrm{cos}{x}\right){dx} \…

Question Number 175467 by manish54 last updated on 31/Aug/22 Commented by Frix last updated on 01/Sep/22 $$\underset{1}{\stackrel{\mathrm{\infty }}{\int }}\frac{dx}{{(x^2+1)}^{1/2}}={\left[\sinh x\right]}_1^{\mathrm{\infty }}\mathrm{does}\mathrm{not}\mathrm{converge}$$$$\underset{\mathrm{1}}…

Question Number 109891 by bemath last updated on 26/Aug/20 $$\frac{\mathrm{\Delta }be▽}{math}$$$$\int \frac{\mathrm{arc}\tan x}{(1+\frac{1}{x^2})}dx?$$ Answered by john santu last updated on 26/Aug/20 $$\:\:\frac{{JS}}{\bigstar\blacksquare\bigstar} \…

Question Number 109872 by bemath last updated on 26/Aug/20 $$\frac{★be★}{\mathcal{M}ath}$$$$\int \frac{\cos xdx}{\sin {}^{2}x+4\sin x-5}?$$ Commented by bemath last updated on 26/Aug/20 $$santuyyallmaster$$…