Category: Integration

Question Number 57421 by Abdo msup. last updated on 03/Apr/19 $${calculate}\:\:\int_{−\mathrm{1}} ^{\mathrm{1}} \:\:\:\frac{\left({x}^{\mathrm{4}} \:+{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} \:+{e}^{{x}} }{{e}^{{x}} \:+\mathrm{1}}{dx} \\ $$ Answered by einsteindrmaths@hotmail.fr last updated…

Question Number 57418 by Abdo msup. last updated on 03/Apr/19 $${calculate}\:\int_{−\mathrm{1}} ^{\mathrm{4}} \:\frac{\mid{x}−\mathrm{1}\mid+\mid{x}−\mathrm{2}\mid}{\mid{x}^{\mathrm{2}} −\mathrm{9}\mid\:+{x}^{\mathrm{2}} \:+\mathrm{16}}{dx} \\ $$ Commented by kaivan.ahmadi last updated on 03/Apr/19 $$\int_{−\mathrm{1}}…

Question Number 57417 by Abdo msup. last updated on 03/Apr/19 $${let}\:{F}\left({x}\right)\:=\int_{\mathrm{0}} ^{{x}} \:\:\frac{\mathrm{1}+{sint}}{\mathrm{2}+{cost}}{dt} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{explicite}\:{form}\:{of}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:\int_{\mathrm{0}} ^{\pi} \:\:\frac{\mathrm{1}+{sint}}{\mathrm{2}+{cost}}{dt} \\ $$ Commented by Abdo msup.…

Question Number 122940 by CanovasCamiseros last updated on 21/Nov/20 Commented by CanovasCamiseros last updated on 21/Nov/20 $$\boldsymbol{{how}}\:\boldsymbol{{can}}\:\boldsymbol{{i}}\:\boldsymbol{{find}}\:\boldsymbol{{it}}? \\ $$ Commented by mr W last updated…

Question Number 122936 by CanovasCamiseros last updated on 21/Nov/20 Commented by Dwaipayan Shikari last updated on 21/Nov/20 $$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{dx}}{{b}^{\mathrm{2}} {tan}^{\mathrm{2}} {x}+\mathrm{1}}\:\:\:\:\:\:\:\:\:\:\:\:{btanx}={t}\:\:\Rightarrow{bsec}^{\mathrm{2}} {x}=\frac{{dt}}{{dx}} \\ $$$${b}\int_{\mathrm{0}}…