How would i go about solving this integral? e^(2x) / [(e^-x) +(e^x)]
S synx New member Joined Feb 25, 2006 Messages 20 Sep 28, 2006 #1 How would i go about solving this integral? e^(2x) / [(e^-x) +(e^x)]
skeeter Elite Member Joined Dec 15, 2005 Messages 3,216 Sep 28, 2006 #2 multiply numerator and denominator by e<sup>x</sup> ... e<sup>3x</sup>/(1 + e<sup>2x</sup>) divide ... e<sup>x</sup> - e<sup>x</sup>/(1 + e<sup>2x</sup>) antiderivative is e<sup>x</sup> - arctan(e<sup>x</sup>) + C
multiply numerator and denominator by e<sup>x</sup> ... e<sup>3x</sup>/(1 + e<sup>2x</sup>) divide ... e<sup>x</sup> - e<sup>x</sup>/(1 + e<sup>2x</sup>) antiderivative is e<sup>x</sup> - arctan(e<sup>x</sup>) + C
