Techniques of integration: substitution, integration by parts, trigonometric substitutions, partial fractions.

Partial Fraction Decomposition With Repeated Linear Factors

Example \(\PageIndex{2}\): Decomposing with Repeated Linear Factors

Because of this inherent molecular stability (high molecular weight), plastics do not easily breakdown into simpler components.

Because of this inherent molecular stability, plastics do not easily breakdown into simpler components.

Because of this inbuilt molecular stability, plastics do not easily break down into simpler components.

Because of this inherent molecular stability high molecular weightplastics do not easily breakdown into simpler components.

If F is algebraically closed then, since the irreducible polynomials in F[x] are all of degree 1, the property stated above holds by the theorem on partial fraction decomposition.