MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2006 Today's Calculation Of Integral
142
Today's calculation of Integral 142
Today's calculation of Integral 142
Source: Tokyo University of Fisheries entrance exam 1968
August 27, 2006
calculus
integration
trigonometry
calculus computations
Problem Statement
Evaluate
∫
0
π
sin
x
1
−
2
a
cos
x
+
a
2
d
x
(
a
>
0
)
.
\int_{0}^\pi \frac{\sin x}{\sqrt{1-2a\cos x+a^{2}}}\ dx\ (a>0).
∫
0
π
1
−
2
a
c
o
s
x
+
a
2
s
i
n
x
d
x
(
a
>
0
)
.
Back to Problems
View on AoPS