Integral of Exponent "Rational" Function
Source: HMMT 2008 Calculus Problem 8
March 2, 2008
calculusintegrationfunctionlogarithmscalculus computations
Problem Statement
Let T \equal{} \int_0^{\ln2} \frac {2e^{3x} \plus{} e^{2x} \minus{} 1} {e^{3x} \plus{} e^{2x} \minus{} e^x \plus{} 1}dx. Evaluate .