This calculator helps you break down rational expressions into simpler fractions—called partial fractions—making integration and algebra easier. It's a must-have tool for students, engineers, and anyone tackling calculus problems.
Partial fractions are a way to rewrite a complex rational expression (a fraction with polynomials) as a sum of simpler fractions. This technique is especially useful in integral calculus, control theory, and solving differential equations.
(x^2 + 3x + 2)/(x^2 - 1))1/(x - 3) + 2/(x + 2)2/x - 2/(x + 1)1/(x + 1) + 2/(x + 2)A partial fraction is one of the simpler rational expressions that, when added together, recreate the original complex fraction. Decomposing into partial fractions makes integration and solving equations more manageable.
To decompose a rational expression, factor the denominator and express the original fraction as a sum of simpler terms. Then solve for unknowns using algebraic methods like substitution or system of equations.
It transforms complicated algebraic fractions into simpler parts that are easier to integrate, differentiate, or analyze in engineering problems.
Most rational expressions with proper form (numerator degree less than denominator) can be decomposed. Improper fractions must first be simplified using polynomial division.
Try our free Partial Fraction Calculator now and simplify your rational expressions with ease.
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