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Byju's Answer
Standard XII
Mathematics
Sandwich Theorem
Evaluate the ...
Question
Evaluate the following integrals:
∫
-
π
/
2
π
/
2
sin
x
+
cos
x
d
x
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Solution
∫
-
π
2
π
2
sin
x
+
cos
x
d
x
Since
,
f
-
x
=
sin
-
x
+
cos
-
x
=
sin
x
+
cos
x
=
f
x
S
o
,
f
x
is
an
even
function
.
∴
I
=
2
∫
0
π
2
sin
x
+
cos
x
dx
⇒
I
=
2
-
cos
x
+
sin
x
0
π
2
⇒
I
=
2
0
+
1
+
1
-
0
⇒
I
=
4
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