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Today's Calculation Of Integral
2006 Today's Calculation Of Integral
135
135
Part of
2006 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 135
Source: Tohoku University entrance exam 1966
8/10/2006
Find the value of
a
a
a
for which
∫
0
π
2
∣
a
sin
x
−
cos
x
∣
d
x
(
a
>
0
)
\int_{0}^{\frac{\pi}{2}}|a\sin x-\cos x|\ dx\ (a>0)
∫
0
2
π
∣
a
sin
x
−
cos
x
∣
d
x
(
a
>
0
)
is minimized.
calculus
integration
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