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2014 VTRMC
Problem 2
definite integral
definite integral
Source: VTRMC 2014 P2
May 10, 2021
integration
calculus
Problem Statement
Evaluate
∫
0
2
x
(
16
−
x
2
)
16
−
x
2
+
(
4
−
x
)
(
4
+
x
)
(
12
+
x
2
)
d
x
\int^2_0\frac{x(16-x^2)}{16-x^2+\sqrt{(4-x)(4+x)(12+x^2)}}dx
∫
0
2
16
−
x
2
+
(
4
−
x
)
(
4
+
x
)
(
12
+
x
2
)
x
(
16
−
x
2
)
d
x
.
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