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National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2010 Today's Calculation Of Integral
631
631
Part of
2010 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 631
Source:
7/9/2010
Evaluate
∫
2
3
(
x
2
+
x
4
−
1
)
(
1
x
2
+
1
+
1
x
2
−
1
)
d
x
.
\int_{\sqrt{2}}^{\sqrt{3}} (x^2+\sqrt{x^4-1})(\frac{1}{\sqrt{x^2+1}}+{\frac{1}{\sqrt{x^2-1}})dx.}
∫
2
3
(
x
2
+
x
4
−
1
)
(
x
2
+
1
1
+
x
2
−
1
1
)
d
x
.
Proposed by kunny
calculus
integration
logarithms
calculus computations