MathDB
Today's calculation of Integral 625

Source:

July 8, 2010
calculusintegrationlimittrigonometrycalculus computations

Problem Statement

Find limt01t30t2exsinxt dx (t0).\lim_{t\rightarrow 0}\frac{1}{t^3}\int_0^{t^2} e^{-x}\sin \frac{x}{t}\ dx\ (t\neq 0).
2010 Kumamoto University entrance exam/Medicine