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Evaluate
Solution:
Consider the given equation above
if
then
Since the numerator is only dx, then we cannot integrate the above equation by simple integration. However, we can factor the denominator as follows
The above equation can be expressed into partial fractions as follows
Consider
Multiply both sides of the equation by their Least Common Denominator (LCD), we have
Equate x:
Equate x0:
Substitute the values of A, B, and C to the original equation, we have
You can also simplify further the above equation as follows
