117
Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions
935.
dx
x x
7 6
2
3 2
−
−
(
)
∫
936.
dx
x
x
2
4
2
+
+
∫
937.
x
x dx
3
2
0
3 2
9 4
−
∫
938.
7 6
2
+
−
∫
x x dx
939. x
x dx
3
2
16 −
∫
Finding Partial Fraction
Decompositions (without
Coefficients)
940–944 Find the partial fraction decomposition
without finding the coefficients.
940.
4
1
1
3
2
x
x x
+
+
(
)
941. 2
1
4
x
x −
926.
sin
cos
t
t
dt
1
2
0
2
+
∫
π
927.
x
x
dx
2
1
−
∫
928.
1
1
2
2
1
2
x x
dx
−
∫
929.
x
x
dx
2
2
3 2
4 −
(
)
∫
930.
1
4
16
2
2
x
x
dx
−
∫
931.
x
x
dx
3
2
16
+
∫
932.
x
x
dx
5
2
1
+
∫
933.
x x
dx
3
2
0
3
9
+
∫
934. x
x dx
2
6
1 −
∫
Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions
935.
dx
x x
7 6
2
3 2
−
−
(
)
∫
936.
dx
x
x
2
4
2
+
+
∫
937.
x
x dx
3
2
0
3 2
9 4
−
∫
938.
7 6
2
+
−
∫
x x dx
939. x
x dx
3
2
16 −
∫
Finding Partial Fraction
Decompositions (without
Coefficients)
940–944 Find the partial fraction decomposition
without finding the coefficients.
940.
4
1
1
3
2
x
x x
+
+
(
)
941. 2
1
4
x
x −
926.
sin
cos
t
t
dt
1
2
0
2
+
∫
π
927.
x
x
dx
2
1
−
∫
928.
1
1
2
2
1
2
x x
dx
−
∫
929.
x
x
dx
2
2
3 2
4 −
(
)
∫
930.
1
4
16
2
2
x
x
dx
−
∫
931.
x
x
dx
3
2
16
+
∫
932.
x
x
dx
5
2
1
+
∫
933.
x x
dx
3
2
0
3
9
+
∫
934. x
x dx
2
6
1 −
∫
