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COMEDK Exam 2014 Solved Paper
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© examsiri.com
Question :
153 of 180
Marks:
+1
,
-0
∫
e
x
(
cos
‌
x
−
s
i
n
‌
x
)
‌
dx
is equal to
e
x
‌
cos
‌
x
+
C
e
x
s
i
n
‌
x
+
C
−
e
x
‌
cos
‌
x
+
C
−
e
x
s
i
n
‌
x
+
C
Validate
Solution:
Let
I
=
∫
e
x
(
c
o
s
x
−
s
i
n
x
)
d
x
=
∫
e
x
c
o
s
x
d
x
−
∫
e
x
s
i
n
x
d
x
=
∫
e
x
c
o
s
x
d
x
−
[
e
x
(
−
c
o
s
x
)
−
∫
e
x
(
−
c
o
s
x
)
d
x
]
=
∫
e
x
c
o
s
x
d
x
+
e
x
c
o
s
x
−
∫
e
x
c
o
s
x
d
x
=
e
x
c
o
s
x
+
C
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