integrate e^x sec^2 e^x
Answers
Answered by
0
Answer:
tane^x+c is the right answer plz mark brialint answer
Answered by
1
Answer:
Step-by-step explanation:
∫
e
x
sec
2
(
e
x
)
d
x
=
tan
(
e
x
)
+
c
Explanation:
We need to evaluate
∫
e
x
sec
2
(
e
x
)
d
x
Let
u
=
e
x
and
d
u
d
x
=
e
x
. Then
d
x
=
e
−
x
d
u
and
∫
e
x
sec
2
(
e
x
)
=
∫
e
x
sec
2
u
e
−
x
d
u
=
∫
sec
2
u
d
u
=
tan
u
+
c
=
tan
(
e
x
)
+
c
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