Today's calculation of Integral 573
Source: 2010 Tsukuba University entrance exam/Science, Problem 2
March 2, 2010
calculusintegrationgeometrytrigonometrylogarithmscalculus computations
Problem Statement
Find the area of the figure bounded by three curves
C_1: y\equal{}\sin x\ \left(0\leq x<\frac {\pi}{2}\right)
C_2: y\equal{}\cos x\ \left(0\leq x<\frac {\pi}{2}\right)
C_3: y\equal{}\tan x\ \left(0\leq x<\frac {\pi}{2}\right).