Area Between Curves with Multiple Intersections
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
Card 1
of 32
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
Identify the integral for
y
=
x
2
y = x^2
y
=
x
2
and
y
=
5
−
x
2
y = 5 - x^2
y
=
5
−
x
2
on
[
0
,
5
]
[0, \sqrt{5}]
[
0
,
5
]
.
QUESTION
What is the formula for calculating area between curves if
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
switch?
QUESTION
What is the integral setup for the area between
y
=
4
x
y = 4x
y
=
4
x
and
y
=
x
3
y = x^3
y
=
x
3
on
[
0
,
2
]
[0, 2]
[
0
,
2
]
?
Tap to flip before you grade
ANSWER
A
=
∫
0
2
(
4
x
−
x
3
)
d
x
A = \int_0^2 (4x - x^3) \, dx
A
=
∫
0
2
(
4
x
−
x
3
)
d
x
.
4
x
>
x
3
4x > x^3
4
x
>
x
3
on this interval.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card