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Class 12
Maths
Calculus
Area
502
150
Find the area of the region enclosed by
y
=
−
5
x
−
x
2
and
y
=
x
on interval
[
−
1
,
5
]
502
150
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Similar topics
relations and functions
trigonometric functions
inverse trigonometric functions
application of derivatives
integrals
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Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
View Similar topics ->
relations and functions
trigonometric functions
inverse trigonometric functions
application of derivatives
integrals
View All ↓
Related Questions
Consider curves
S
1
:
∣
x
∣
+
∣
y
∣
=
a
,
S
2
:
x
2
+
y
2
=
a
2
and
S
3
:
∣
x
∣
+
∣
y
∣
=
a
.
If
α
is area bounded by
S
1
and
S
2
,
β
is area bounded by
S
1
and
S
3
and
γ
is the area bounded by
S
2
and
S
3
,
then
The area of the region
{
(
x
,
y
)
:
x
2
+
y
2
≤
5
,
∣
∣
x
∣
−
∣
y
∣
∣
≥
1
is
Consider
f
(
x
)
=
{
cos
x
(
2
π
−
x
)
2
0
≤
x
<
2
π
2
π
≤
x
<
π
such that f is periodic with period
π
. Then which of the following is not true?
Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of
2
3
A
is__.
Let
f
(
x
)
=
cos
x
2
,
f
(
x
)
−
x
,
and
α
,
β
(
α
<
β
)
be the roots of the quadratic equation
1
8
x
2
−
9
π
x
+
π
2
=
0
.
Then the area (in sq. units) bounded by the curve y=(gof) (x) and the lines
x
=
α
,
x
=
β
and
y
=
0
,
is
The area bounded by the two branches of curve
(
y
−
x
)
2
=
x
3
and the straight line x=1 is
If
f
:
[
−
1
,
1
]
→
[
−
2
1
,
2
1
]
,
f
(
x
)
=
1
+
x
2
x
,
then find the area bounded by
y
=
f
−
1
(
x
)
,
x
axis and lines
x
=
2
1
,
x
=
−
2
1
.
The area bounded by the curve
y
=
x
e
−
x
,
y
=
0
and
x
=
c
,
where c is the x-coordinate to the curve's inflection point, is
Related Questions
Consider curves
S
1
:
∣
x
∣
+
∣
y
∣
=
a
,
S
2
:
x
2
+
y
2
=
a
2
and
S
3
:
∣
x
∣
+
∣
y
∣
=
a
.
If
α
is area bounded by
S
1
and
S
2
,
β
is area bounded by
S
1
and
S
3
and
γ
is the area bounded by
S
2
and
S
3
,
then
The area of the region
{
(
x
,
y
)
:
x
2
+
y
2
≤
5
,
∣
∣
x
∣
−
∣
y
∣
∣
≥
1
is
Consider
f
(
x
)
=
{
cos
x
(
2
π
−
x
)
2
0
≤
x
<
2
π
2
π
≤
x
<
π
such that f is periodic with period
π
. Then which of the following is not true?
Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of
2
3
A
is__.
Let
f
(
x
)
=
cos
x
2
,
f
(
x
)
−
x
,
and
α
,
β
(
α
<
β
)
be the roots of the quadratic equation
1
8
x
2
−
9
π
x
+
π
2
=
0
.
Then the area (in sq. units) bounded by the curve y=(gof) (x) and the lines
x
=
α
,
x
=
β
and
y
=
0
,
is
The area bounded by the two branches of curve
(
y
−
x
)
2
=
x
3
and the straight line x=1 is
If
f
:
[
−
1
,
1
]
→
[
−
2
1
,
2
1
]
,
f
(
x
)
=
1
+
x
2
x
,
then find the area bounded by
y
=
f
−
1
(
x
)
,
x
axis and lines
x
=
2
1
,
x
=
−
2
1
.
The area bounded by the curve
y
=
x
e
−
x
,
y
=
0
and
x
=
c
,
where c is the x-coordinate to the curve's inflection point, is
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