Problem 56E
Preliminary steps
The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.
Step-by-Step Solution:
Step 1 of 3
Solution:-
Step1
Apply integral substitution
, u=g(x)
u= du=udx
=
du
Step2
Apply integral substitution
, u=g(x)
v= dv=
=
=
=
=
=)
= )
=-2(arctanh(v)-v))
=-2(arctanh()-
))
=2(- arctanh(
))
Therefore,
=2(
- arctanh(
))+C
Step 2 of 3
Chapter 7.4, Problem 56E is Solved
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Step 3 of 3
