# How do you use partial fraction decomposition to decompose the fraction to integrate #(2x)/(1-x^3)#?

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To decompose the fraction (2x)/(1-x^3) using partial fraction decomposition, follow these steps:

- Factor the denominator: 1 - x^3 = (1 - x)(1 + x + x^2).
- Write the fraction in the form of partial fractions: (2x)/(1-x^3) = A/(1 - x) + (Bx + C)/(1 + x + x^2).
- Multiply both sides by the denominator of the original fraction to clear the fractions.
- Equate coefficients of like terms.
- Solve for the unknown coefficients A, B, and C.
- Integrate each partial fraction separately.

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