119
Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions
961.
2
3
x
x
dx
−
∫
962.
1
3
4
x
x
dx
−
∫
963.
e
e
e
dx
x
x
x
2
2
3
2
+
+
∫
957.
6
1
6
9
2
4
2
x
x
x
dx
+
+
+
∫
958.
1
1
3
x
dx
+
∫
Rationalizing Substitutions
959–963 Use a rationalizing substitution and partial
fractions to evaluate the integral.
959.
1
1
x x
dx
+
∫
960.
x
x
dx
−
∫
1
4
9
Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions
961.
2
3
x
x
dx
−
∫
962.
1
3
4
x
x
dx
−
∫
963.
e
e
e
dx
x
x
x
2
2
3
2
+
+
∫
957.
6
1
6
9
2
4
2
x
x
x
dx
+
+
+
∫
958.
1
1
3
x
dx
+
∫
Rationalizing Substitutions
959–963 Use a rationalizing substitution and partial
fractions to evaluate the integral.
959.
1
1
x x
dx
+
∫
960.
x
x
dx
−
∫
1
4
9