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Mathematics
Mathematics
Problem
∫
e
x
⋅
x
5
d
x
\int e^x \cdot x^5 dx
∫
e
x
⋅
x
5
d
x
is (a)
e
x
[
x
5
−
5
x
4
+
20
x
3
−
60
x
2
+
120
x
−
120
]
+
C
e^x[x^5 - 5x^4 + 20x^3 - 60x^2 + 120x - 120] + C
e
x
[
x
5
−
5
x
4
+
20
x
3
−
60
x
2
+
120
x
−
120
]
+
C
(b)
e
x
[
x
5
+
5
x
4
+
20
x
3
−
60
x
2
−
120
x
+
120
]
+
C
e^x[x^5 + 5x^4 + 20x^3 - 60x^2 - 120x + 120] + C
e
x
[
x
5
+
5
x
4
+
20
x
3
−
60
x
2
−
120
x
+
120
]
+
C
(c)
e
x
[
x
5
+
5
x
4
+
20
x
3
+
60
x
2
+
120
x
+
120
]
+
C
e^x[x^5 + 5x^4 + 20x^3 + 60x^2 + 120x + 120] + C
e
x
[
x
5
+
5
x
4
+
20
x
3
+
60
x
2
+
120
x
+
120
]
+
C
(d)
e
x
[
x
5
−
5
x
4
−
20
x
3
−
60
x
2
−
120
x
−
120
]
+
C
e^x[x^5 - 5x^4 - 20x^3 - 60x^2 - 120x - 120] + C
e
x
[
x
5
−
5
x
4
−
20
x
3
−
60
x
2
−
120
x
−
120
]
+
C
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