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Two curves meet at x = 1 and at x = 4. Between these… | StemPy Lab
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Two curves meet at x = 1 and at x = 4. Between these two values the curve y = p(x) lies above the curve y = q(x). Which integral gives the area of the region enclosed between the two curves?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Application of Integrals
A-Level
AP
IB
Created by
StemPy Lab
Two curves meet at
x
=
1
x = 1
x
=
1
and at
x
=
4
x = 4
x
=
4
. Between these two values the curve
y
=
p
(
x
)
y = p(x)
y
=
p
(
x
)
lies above the curve
y
=
q
(
x
)
y = q(x)
y
=
q
(
x
)
. Which integral gives the area of the region enclosed between the two curves?
∫
1
4
(
q
(
x
)
−
p
(
x
)
)
d
x
\displaystyle\int_1^4 \big(q(x) - p(x)\big)\,dx
∫
1
4
(
q
(
x
)
−
p
(
x
)
)
d
x
∫
1
4
(
p
(
x
)
+
q
(
x
)
)
d
x
\displaystyle\int_1^4 \big(p(x) + q(x)\big)\,dx
∫
1
4
(
p
(
x
)
+
q
(
x
)
)
d
x
∫
1
4
p
(
x
)
q
(
x
)
d
x
\displaystyle\int_1^4 p(x)\,q(x)\,dx
∫
1
4
p
(
x
)
q
(
x
)
d
x
∫
1
4
(
p
(
x
)
−
q
(
x
)
)
d
x
\displaystyle\int_1^4 \big(p(x) - q(x)\big)\,dx
∫
1
4
(
p
(
x
)
−
q
(
x
)
)
d
x
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Functions and Calculus › Application of Integrals
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