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What is ∫ x e²ˣ dx when integration by parts is used… | StemPy Lab
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What is ∫ x e²ˣ dx when integration by parts is used with u = x?
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High School (11–12)
Functions and Calculus › Integrals
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What is
∫
x
e
2
x
d
x
\displaystyle\int x\,e^{2x}\,dx
∫
x
e
2
x
d
x
when integration by parts is used with
u
=
x
u = x
u
=
x
?
e
2
x
(
x
2
−
1
4
)
+
C
e^{2x}\left(\dfrac{x}{2} - \dfrac{1}{4}\right) + C
e
2
x
(
2
x
−
4
1
)
+
C
e
2
x
(
x
2
−
1
2
)
+
C
e^{2x}\left(\dfrac{x}{2} - \dfrac{1}{2}\right) + C
e
2
x
(
2
x
−
2
1
)
+
C
x
2
2
e
2
x
+
C
\dfrac{x^2}{2}e^{2x} + C
2
x
2
e
2
x
+
C
e
2
x
(
2
x
−
4
)
+
C
e^{2x}\left(2x - 4\right) + C
e
2
x
(
2
x
−
4
)
+
C
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