: Evaluate: fer(1 + x) / cos^ [xe"] dx.
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Answer:
Correct option is A)
Substitute xe
x
=t
e
x
(1+x)dx=dt
∫
cos
2
t
dt
=∫sec
2
t⋅dt
=tan(t)+c
=tan(xe
x
)+c
So , ∫
cos
2
(xe
x
)
e
x
(1+x)
⋅dx=tan(xe
x
)+c
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