How do you integrate #int (x²+2) / (x+3)# using partial fractions?
Before using partial fractions make sure that the degree of the numerator is less than that of the denominator. If it's not, then do the division first.
By splitting:
Term by term, this could be integrated.
By signing up, you agree to our Terms of Service and Privacy Policy
To integrate (\int \frac{x^2 + 2}{x + 3} , dx) using partial fractions, follow these steps:

Divide the numerator (x^2 + 2) by the denominator (x + 3) using polynomial long division to get a quotient and a remainder.

Express the fraction (\frac{x^2 + 2}{x + 3}) as a sum of two fractions: one with a linear denominator and one with a constant denominator.

Solve for the constants in the partial fraction decomposition by equating coefficients.

Integrate each partial fraction separately.

Combine the results to find the final integral.
If you require further clarification on any of these steps, please feel free to ask.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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
 Stepbystep, indepth guides
 Readily available 24/7