# How do you integrate #f(x)=(x^2-2x)/((x^2-3)(x-3)(x-8))# using partial fractions?

=

I decomposed into basic fractions,

After expanding denominator,

Hence,

Now I solved last integral,

Thus,

By signing up, you agree to our Terms of Service and Privacy Policy

To integrate the function ( f(x) = \frac{{x^2 - 2x}}{{(x^2 - 3)(x - 3)(x - 8)}} ) using partial fractions, follow these steps:

- Factor the denominator ( (x^2 - 3)(x - 3)(x - 8) ) into linear and irreducible quadratic factors.
- Express ( f(x) ) as the sum of partial fractions with undetermined coefficients.
- Find the values of the coefficients by equating the numerators of the partial fractions with the original function.
- Integrate each partial fraction separately.
- Combine the results to get the final integrated expression.

After performing the steps, you will have the integrated expression.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7