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Byju's Answer
Standard XII
Mathematics
Second Fundamental Theorem of Calculus
∫0x/2x+sin x/...
Question
∫
x
2
0
x
+
s
i
n
x
1
+
c
o
s
x
d
x
=
[Roorkee 1978]
A
-log 2
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B
log 2
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C
π
2
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D
\N
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Solution
The correct option is
C
π
2
∫
x
2
0
x
+
s
i
n
x
1
+
c
o
s
x
d
x
=
∫
x
2
0
x
+
s
i
n
x
2
c
o
s
2
x
2
d
x
=
1
2
∫
x
2
0
x
s
e
c
2
x
2
d
x
+
∫
x
2
0
t
a
n
x
2
d
x
=
∣
∣
x
t
a
n
x
2
∣
∣
π
2
0
=
π
2
t
a
n
π
4
=
π
2
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0
Similar questions
Q.
∫
x
2
0
x
+
s
i
n
x
1
+
c
o
s
x
d
x
=
[Roorkee 1978]
Q.
∫
x
2
0
x
+
s
i
n
x
1
+
c
o
s
x
d
x
=
[Roorkee 1978]