MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2011 Today's Calculation Of Integral
712
712
Part of
2011 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 712
Source: created by kunny
6/25/2011
Evaluate
∫
π
4
π
3
{
1
tan
x
(
ln
sin
x
)
+
tan
x
ln
cos
x
}
d
x
.
\int_{\frac{\pi}{4}}^{\frac{\pi}{3}} \left\{\frac{1}{\tan x\ (\ln \sin x)}+\frac{\tan x}{\ln \cos x}\right\}\ dx.
∫
4
π
3
π
{
t
a
n
x
(
l
n
s
i
n
x
)
1
+
l
n
c
o
s
x
t
a
n
x
}
d
x
.
calculus
integration
trigonometry
logarithms
calculus computations