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2009 VTRMC
Problem 3
a double integral function
a double integral function
Source: VTRMC 2009 P3
May 30, 2021
calculus
integration
function
Problem Statement
Define
f
(
x
)
=
∫
0
x
∫
0
x
e
u
2
v
2
d
u
d
v
f(x)=\int^x_0\int^x_0e^{u^2v^2}dudv
f
(
x
)
=
∫
0
x
∫
0
x
e
u
2
v
2
d
u
d
v
. Calculate
2
f
′
′
(
2
)
+
f
′
(
2
)
2f''(2)+f'(2)
2
f
′′
(
2
)
+
f
′
(
2
)
.
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