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Mathematics
Mathematics
Problem
The absolute value of
∫
0
π
2
(
x
cos
x
+
1
)
e
sin
x
d
x
∫
0
π
2
(
x
sin
x
−
1
)
e
cos
x
d
x
\frac{\int_{0}^{\frac{\pi}{2}} (x \cos x + 1) e^{\sin x} dx}{\int_{0}^{\frac{\pi}{2}} (x \sin x - 1) e^{\cos x} dx}
∫
0
2
π
(
x
sin
x
−
1
)
e
c
o
s
x
d
x
∫
0
2
π
(
x
cos
x
+
1
)
e
s
i
n
x
d
x
is equal to
k
k
k
then the value of
[
k
]
[k]
[
k
]
...... where
[
.
]
[.]
[
.
]
denotes G I F (A) 0 (B) 1 (C) 3 (D) 2
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