Partial Fraction Decomposition in Integration

It simplifies the integrand to avoid complex methods.

It always results in a polynomial.

It eliminates the need for any substitution.

It is only applicable to trigonometric functions.

x - 3 and x + 2

x + 3 and x - 2

x - 4 and x + 1

x + 4 and x - 1

By solving a system of equations derived from the original equation.

By guessing and checking.

By integrating directly.

By using the quadratic formula.

To eliminate the need for integration.

To find the roots of the polynomial.

To simplify the equation and solve for constants.

To check the validity of the factors.

x - 4 and x + 2

x + 3 and x - 1

x + 4 and x - 2

x - 3 and x + 1

1

-2

-1

2

2

1

0

4

Natural log of the absolute value of U

U squared

1 over U

Exponential of U

It breaks down complex fractions into simpler ones.

It is only applicable to trigonometric functions.

It always results in a polynomial.

It eliminates the need for any substitution.

ln|x - 4| + 4 * ln|x + 2| + C

4 * ln|x - 4| + ln|x + 2| + C

4 * ln|x + 4| + ln|x - 2| + C

ln|x + 4| + 4 * ln|x - 2| + C