# How do you find #int (5x+11)/(x^2+2x-35) dx# using partial fractions?

Do a partial fraction decomposition on

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

To find ∫(5x+11)/(x^2+2x-35) dx using partial fractions, first factor the denominator: x^2 + 2x - 35 = (x + 7)(x - 5). Then, express the given fraction as A/(x + 7) + B/(x - 5). Next, find the values of A and B by equating numerators and simplifying. Once you have A and B, integrate each term separately. The integral of A/(x + 7) with respect to x is A ln|x + 7| + C, and the integral of B/(x - 5) with respect to x is B ln|x - 5| + C. Therefore, the integral of (5x+11)/(x^2+2x-35) dx using partial fractions is A ln|x + 7| + B ln|x - 5| + C.

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