Solution Found!
Preliminary steps The following integrals
Chapter 4, Problem 58E(choose chapter or problem)
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.
\(\int \frac{\cos x}{\left(\sin ^{3} x-4 \sin x\right)} d x\)
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.
\(\int \frac{\cos x}{\left(\sin ^{3} x-4 \sin x\right)} d x\)
ANSWER:Problem 58E
The following integrals require a preliminary step such as long division or a change of variables before using partial fractions.
Evaluate these integral
Solution:-
Step 1
To evaluate the integral, first we substitute ,
Differentiating , we get
Substituting these in the integral, we get
Now, we have rational fraction which we can decompose into partial fraction and then carry on the integral.