81
Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem
568.
x x dx
+
(
)
∫ 0
1
569.
f x dx
( )
−
∫ 3
2
π
, where
f x
x
x
x
x
( )
,
cos ,
=
− ≤ ≤
< ≤
3
0
0
2
π
570.
x
dx
−
−
2
3
4
∫
Understanding Basic
Indefinite Integrals
571–610 Find the indicated antiderivative.
571. x dx
3 4
∫
572. 5
7
x
dx
∫
573.
x
x
dx
3
2
3
1
+
−
(
)
∫
560.
sec
2
0
4
t dt
π
∫
561.
sec tan
x
xdx
0
3
π
∫
562. 4
1
2 x dx
∫
563.
x
x dx
−
(
)
∫
sin
0
π
564.
x x dx
+
3
1
4
(
)
∫
565.
2
3
1
8
xdx
∫
566.
csc
2
4
2
1
x
dx
−
(
)
∫ π
π
567.
1 2
4
3
0
2
+ −
y
y dy
(
)
∫
Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem
568.
x x dx
+
(
)
∫ 0
1
569.
f x dx
( )
−
∫ 3
2
π
, where
f x
x
x
x
x
( )
,
cos ,
=
− ≤ ≤
< ≤
3
0
0
2
π
570.
x
dx
−
−
2
3
4
∫
Understanding Basic
Indefinite Integrals
571–610 Find the indicated antiderivative.
571. x dx
3 4
∫
572. 5
7
x
dx
∫
573.
x
x
dx
3
2
3
1
+
−
(
)
∫
560.
sec
2
0
4
t dt
π
∫
561.
sec tan
x
xdx
0
3
π
∫
562. 4
1
2 x dx
∫
563.
x
x dx
−
(
)
∫
sin
0
π
564.
x x dx
+
3
1
4
(
)
∫
565.
2
3
1
8
xdx
∫
566.
csc
2
4
2
1
x
dx
−
(
)
∫ π
π
567.
1 2
4
3
0
2
+ −
y
y dy
(
)
∫