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Mathematics
Mathematics
Problem
Evaluate
∫
e
x
cos
x
d
x
\displaystyle \int e^{x}\cos x\,dx
∫
e
x
cos
x
d
x
. a)
e
x
sin
x
+
C
e^{x}\sin x + C
e
x
sin
x
+
C
b)
e
x
(
cos
x
+
sin
x
)
2
+
C
\displaystyle \frac{e^{x}(\cos x+\sin x)}{2}+C
2
e
x
(
cos
x
+
sin
x
)
+
C
c)
e
x
(
cos
x
+
sin
x
)
+
C
\displaystyle e^{x}(\cos x+\sin x)+C
e
x
(
cos
x
+
sin
x
)
+
C
d)
e
x
(
cos
x
−
sin
x
)
2
+
C
\displaystyle \frac{e^{x}(\cos x-\sin x)}{2}+C
2
e
x
(
cos
x
−
sin
x
)
+
C
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