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VTRMC
2009 VTRMC
Problem 3
Problem 3
Part of
2009 VTRMC
Problems
(1)
a double integral function
Source: VTRMC 2009 P3
5/30/2021
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
)
.
calculus
integration
function