Calculus 2: Partial fractions

Find the anti-derivative of $\frac{x - 9}{x^2 + 3x - 10}$ using partial fractions.

Evaluate the integral of $\displaystyle \frac{1}{x^2 + 1}$ using partial fractions.

Integrate $\frac{4}{x^2 - 2x - 8}$ using partial fractions.

Find the indefinite integral of $\frac{1}{x^2 - 4}$ using integration by partial fractions.

Evaluate the integral $\displaystyle \int \frac{x - 4}{x^2 + 2x - 15} \, dx$ by performing partial fraction decomposition.

Integrate $\frac{1}{x - 1} + \frac{1}{x - 2} + \frac{1}{(x - 2)^2}$ using partial fraction decomposition, acknowledging repeated linear factors.

Find the antiderivative of $\frac{x^2 + 9}{(x^2 - 1)(x^2 + 4)}$ using partial fraction decomposition.

Integrate a rational function using partial fractions.