118 Part I: The Questions
Integrals Involving Partial
Fractions
950–958 Evaluate the integral using partial fractions.
950.
x
x
dx
−
∫ 5
951.
x
x
dx
2
6
+
∫
952.
x
x
x
dx
−
+
(
) −
(
)
∫
3
4
5
953.
1
1
2
4
5
x
dx
−
∫
954.
3
5
2
1
2
x
x
x
dx
+
+
+
∫
955. x
x
x
x
dx
3
2
6
5
6
−
+
− −
∫
956.
8
3
x
x
dx
+
∫
942.
5
4
1
5
2
2
2
3
x
x
x
x
+ −
+
(
)
+
(
)
943.
4
19
1
1 7
3
2
3
2
x
x x
x
+
−
(
)
+
(
)
944.
3
4
9
2
1
2
2
4
2
x
x
x
x
+
−
(
) + +
(
)
Finding Partial Fraction
Decompositions (Including
Coefficients)
945–949 Find the partial fraction decomposition,
including the coefficients.
945.
1
2
1
x
x
+
(
) −
(
)
946. x
x
x
+
+
2
3
947.
5
1
6
9
2
x
x
x
+
−
+
948.
x
x
x
2
4
2
2
4
3
+
+
+
949.
x
x
2
2
2
1
5
+
+
(
)