MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2005 Today's Calculation Of Integral
66
Today's calculation of Integral 66
Today's calculation of Integral 66
Source: 1985 Nagaoka University of Technology
July 11, 2005
calculus
integration
trigonometry
calculus computations
Problem Statement
Find the minimum value of
∫
0
π
2
∣
cos
x
−
a
∣
sin
x
d
x
\int_0^{\frac{\pi}{2}} |\cos x -a|\sin x \ dx
∫
0
2
π
∣
cos
x
−
a
∣
sin
x
d
x
Back to Problems
View on AoPS