Calculus 2 Quiz
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TECHNIQUES OF INTEGRATION
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∫
x
+
1
x
3
+
x
2
−
x
−
1
d
x
\int \frac{x+1}{x^3 + x^2 - x - 1} dx
∫
x
3
+
x
2
−
x
−
1
x
+
1
d
x
, which approach should be used first?
A
Factor the denominator by grouping, then apply partial fraction decomposition
B
Apply the substitution
u
=
x
3
+
x
2
−
x
−
1
u = x^3 + x^2 - x - 1
u
=
x
3
+
x
2
−
x
−
1
directly
C
Use integration by parts with
u
=
x
+
1
u = x + 1
u
=
x
+
1
D
Complete the square in the denominator before substitution
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