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3
2009 Calculus #3: Rational Function Integral
2009 Calculus #3: Rational Function Integral
Source:
June 23, 2012
calculus
function
integration
logarithms
Problem Statement
Compute
e
A
e^A
e
A
where
A
A
A
is defined as
∫
3
/
4
4
/
3
2
x
2
+
x
+
1
x
3
+
x
2
+
x
+
1
d
x
.
\int_{3/4}^{4/3}\dfrac{2x^2+x+1}{x^3+x^2+x+1}dx.
∫
3/4
4/3
x
3
+
x
2
+
x
+
1
2
x
2
+
x
+
1
d
x
.
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