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2013 VTRMC
Problem 1
integral equation
integral equation
Source: VTRMC 2013 P1
May 12, 2021
calculus
integration
Problem Statement
Let
I
=
3
2
∫
0
x
1
+
cos
t
17
−
8
cos
t
d
t
I=3\sqrt2\int^x_0\frac{\sqrt{1+\cos t}}{17-8\cos t}dt
I
=
3
2
∫
0
x
17
−
8
c
o
s
t
1
+
c
o
s
t
d
t
. If
0
<
x
<
π
0<x<\pi
0
<
x
<
π
and
tan
I
=
2
3
\tan I=\frac2{\sqrt3}
tan
I
=
3
2
, what is
x
x
x
?
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