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Today's Calculation Of Integral
2007 Today's Calculation Of Integral
179
179
Part of
2007 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 179
Source: From 2 university entrance exams 2007
2/8/2007
Evaluate the following integrals. (1) Meiji University
∫
1
e
e
(
log
x
)
2
x
d
x
.
\int_{\frac{1}{e}}^{e}\frac{(\log x)^{2}}{x}dx.
∫
e
1
e
x
(
l
o
g
x
)
2
d
x
.
(2) Tokyo University of Science
∫
0
1
7
x
3
+
23
x
2
+
21
x
+
15
(
x
2
+
1
)
(
x
+
1
)
2
d
x
.
\int_{0}^{1}\frac{7x^{3}+23x^{2}+21x+15}{(x^{2}+1)(x+1)^{2}}dx.
∫
0
1
(
x
2
+
1
)
(
x
+
1
)
2
7
x
3
+
23
x
2
+
21
x
+
15
d
x
.
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