Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
40.
∫
e
x
(
1
+
sin
x
)
1
+
cos
x
d
x
=
40. \int \frac{e^x (1 + \sin x)}{1 + \cos x} dx =
40.
∫
1
+
cos
x
e
x
(
1
+
sin
x
)
d
x
=
(2015) (a)
e
x
tan
(
x
2
)
+
C
e^x \tan\left(\frac{x}{2}\right) + C
e
x
tan
(
2
x
)
+
C
(b)
e
x
tan
x
+
C
e^x \tan x + C
e
x
tan
x
+
C
(c)
e
x
(
1
+
sin
x
1
−
cos
x
)
+
C
e^x \left( \frac{1 + \sin x}{1 - \cos x} \right) + C
e
x
(
1
−
c
o
s
x
1
+
s
i
n
x
)
+
C
(d)
C
−
e
x
cot
(
x
2
)
C - e^x \cot\left(\frac{x}{2}\right)
C
−
e
x
cot
(
2
x
)
Browse the problem library