Anti-derivative (Indefinate Integration) of e^(3x+2)
Answers
Answered by
0
Answer:
e^(3x+2)/3
Step-by-expllanation
u
=
3
x
+
2
⟶
d
u
d
x
=
3
(steps)
⟶
d
x
=
1
3
d
u
:
=
1
3
∫
e
u
d
u
Now solving:
∫
e
u
d
u
Apply exponential rule:
∫
a
u
d
u
=
a
u
ln
(
a
)
with
a
=
e
:
=
e
u
Plug in solved integrals:
1
3
∫
e
u
d
u
=
e
u
3
Undo substitution
u
=
3
x
+
2
:
=
e
3
x
+
2
3
The problem is solved:
∫
e
3
x
+
2
d
x
=
e
3
x
+
2
3
+
C
Similar questions