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Byju's Answer
Standard XII
Mathematics
Area between Two Curves
Consider the ...
Question
Consider the curves
y
=
sin
x
and
y
=
cos
x
.
What is the area of the region bounded by the above two curves and the lines
x
=
0
and
x
=
π
4
?
A
√
2
−
1
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B
√
2
+
1
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C
√
2
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D
2
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Solution
The correct option is
A
√
2
−
1
The area enclosed by
y
=
s
i
n
x
,
y
=
c
o
s
x
,
x
=
0
,
x
=
π
4
is given by
∫
π
4
0
(
cos
x
−
sin
x
)
d
x
=
|
sin
x
+
cos
x
|
π
4
0
=
1
√
2
+
1
√
2
−
0
−
1
=
√
2
−
1
Suggest Corrections
0
Similar questions
Q.
Consider the curves
y
=
sin
x
and
y
=
cos
x
.
What is the area of the region bounded by the above two curves and the lines
x
=
π
4
and
x
=
π
2
?
Q.
The area of the region between the curves
y
=
√
1
+
sin
x
cos
x
and
y
=
√
1
−
sin
x
cos
x
bounded by the lines
x
=
0
and
x
=
π
4
is
Q.
I: The area bounded by the curves
y
=
sin
x
,
y
=
cos
x
and
Y
-axis is
√
2
−
1
sq. units.
II: The area bounded by
y
=
cos
x
,
y
=
x
+
1
,
y
=
0
is 3/2 sq. units.
Which of the above statement is correct?
Q.
The area bounded by the curves
y
=
sin
x
,
y
=
cos
x
and x-axis from
x
=
0
to
x
=
π
/
2
is
Q.
The area, enclosed by the curves
y
=
sin
x
+
cos
x
and
y
=
|
cos
x
–
sin
x
|
and the lines
x
=
0
,
x
=
π
2
, is:
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