Compute the value of the integral

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

\displaystyle \int_{0}^{\sqrt{\ln 3}} \frac{2x\,e^{x^{2}}}{1+e^{x^{2}}}\,dx

. Provide your answer in simplest exact form.