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Math2400
 one year ago
evaluate the integral?
Math2400
 one year ago
evaluate the integral?

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Math2400
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{1}^{1} \frac{ 3e ^{acrtan(y)} }{ 1+y^2 } dy\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2remember your derivative of arctan(x)?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\Large\rm \int\limits\limits_{1}^{1} \frac{ 3e ^{acrtan(y)} }{ 1+y^2 } dy\quad =\quad3\int\limits_{1}^{1}e^{\color{orangered}{\arctan(y)}}\left(\color{royalblue}{\frac{1}{1+y^2}dy}\right)\]

Math2400
 one year ago
Best ResponseYou've already chosen the best response.0mmmm i still didn't get it lol i tried usub tho. Let me post my work :)

Math2400
 one year ago
Best ResponseYou've already chosen the best response.0never mind my phone is acting dumb >< but i tried to get wolfram alpha to help but it coduldnt calculate it

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2dw:1433721955691:dwSo the derivative of arctan(x) is 1/(1+x^2)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2\[\Large\rm 3\int\limits\limits_{1}^{1}e^{\color{orangered}{\arctan(y)}}\left(\color{royalblue}{\frac{1}{1+y^2}dy}\right)=3\int\limits e^{\color{orangered}{u}}\left(\color{royalblue}{du}\right)\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.2with new limits of integration of course :o
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