# How do you integrate #int x^3/((x^4-16)(x-3))dx# using partial fractions?

Start from the given integral and set up the variables using A, B, C ,D, E

and out of the numerators from both sides we have

After setting up all the equations . The following are the equations

We have to integrate now

God bless....I hope the explanation is useful.

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

To integrate the expression ( \int \frac{x^3}{(x^4-16)(x-3)} , dx ) using partial fractions, you first factor the denominator completely. After factoring, you decompose the fraction into partial fractions. You then solve for the unknown constants using algebraic manipulation. Once you have the partial fraction decomposition, you can integrate each term separately.

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