109
Chapter 13: U-Substitution and Integration by Parts
855. x x
dx
5
3
3
0
1
1
+
∫
856.
x
x
dx
+
∫
3
6
857. x x
dx
7
4
1
+
∫
Using Integration by Parts
858–883 Use integration by parts to evaluate
the integral.
858. x
x dx
cos 4
( )
∫
859. xe dx
x
∫
860. x
x dx
sinh 2
( )
∫
861.
x dx
x
6
0
3
∫
847.
4 12
1 2
3
2
+
+
+
∫
x
x
x
dx
848.
cot csc
x
xdx
3
2
∫
849.
sin
2
0
2 x
x dx
( )
∫
π
850. 3
1
2
+
+
∫
x
x
dx
851.
dx
x
x
e
e
ln
2
∫
852. tan ln cos
θ
θ θ
(
)
∫
d
853. x e dx
x
2
3
−
∫
854.
x x
dx
+
∫
1
0
3
Chapter 13: U-Substitution and Integration by Parts
855. x x
dx
5
3
3
0
1
1
+
∫
856.
x
x
dx
+
∫
3
6
857. x x
dx
7
4
1
+
∫
Using Integration by Parts
858–883 Use integration by parts to evaluate
the integral.
858. x
x dx
cos 4
( )
∫
859. xe dx
x
∫
860. x
x dx
sinh 2
( )
∫
861.
x dx
x
6
0
3
∫
847.
4 12
1 2
3
2
+
+
+
∫
x
x
x
dx
848.
cot csc
x
xdx
3
2
∫
849.
sin
2
0
2 x
x dx
( )
∫
π
850. 3
1
2
+
+
∫
x
x
dx
851.
dx
x
x
e
e
ln
2
∫
852. tan ln cos
θ
θ θ
(
)
∫
d
853. x e dx
x
2
3
−
∫
854.
x x
dx
+
∫
1
0
3
