Consider the given indefinite integral:
Here the objective is to find the indefinite integral of
Rewrite the given indefinite integral in this form,
Use sum rule of integration
Hence the indefinite integral of
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We make a trigonometric substitution:
Simplify the expression: The
degree of the numerator P (x) is greater than or equal to the degree of the denominator Q (x), so we divide the polynomials.
By integrating the whole part, we get:
Integrating further, we get:
Returning to the change of variables