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Mathematics
Mathematics
Problem
∫
e
x
(
x
+
1
)
cos
2
(
x
e
x
)
d
x
=
\int \frac{e^x(x+1)}{\cos^2(xe^x)}\,dx =
∫
c
o
s
2
(
x
e
x
)
e
x
(
x
+
1
)
d
x
=
(a)
tan
(
x
e
x
)
+
c
\tan(xe^x) + c
tan
(
x
e
x
)
+
c
(b)
sec
(
x
e
x
)
tan
(
x
e
x
)
+
c
\sec(xe^x)\tan(xe^x) + c
sec
(
x
e
x
)
tan
(
x
e
x
)
+
c
(c)
−
tan
(
x
e
x
)
+
c
-\tan(xe^x) + c
−
tan
(
x
e
x
)
+
c
(d) None of these (a)
tan
(
x
e
x
)
+
c
\tan(xe^x) + c
tan
(
x
e
x
)
+
c
(b)
sec
(
x
e
x
)
tan
(
x
e
x
)
+
c
\sec(xe^x)\tan(xe^x) + c
sec
(
x
e
x
)
tan
(
x
e
x
)
+
c
(c)
−
tan
(
x
e
x
)
+
c
-\tan(xe^x) + c
−
tan
(
x
e
x
)
+
c
(d) None of these
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