Compute the exact value of .

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Compute the exact value of

\displaystyle \int_{0}^{\sqrt{\ln 4}} \frac{2x\,e^{x^{2}}}{1+e^{x^{2}}}\,dx

. (a)

\ln\!\left(\dfrac{3}{2}\right)

(b)

\ln 5

(c)

\ln\!\left(\dfrac{5}{2}\right)

(d)

\ln 2