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Preliminary steps The following integrals
Chapter 4, Problem 55E(choose chapter or problem)
QUESTION:
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.
\(\int \frac{\sec \theta}{1+\sin \theta} d \theta\)
Questions & Answers
QUESTION:
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.
\(\int \frac{\sec \theta}{1+\sin \theta} d \theta\)
ANSWER:Solution:-
Step1
Apply integral substitution
, u=g(x)
=
Step2
Apply integral substitution
, u=g(x)
=
=
Step3
Take the partial fraction of