MathDB
Today's calculation of Integral 584

Source: 2010 Niigata University entrance exam/Science

March 17, 2010
calculusintegrationlimitlogarithmscalculus computations

Problem Statement

Find \lim_{x\rightarrow \infty} \left(\int_0^x \sqrt{1\plus{}e^{2t}}\ dt\minus{}e^x\right).