todai-math 2021 QI.2

todai-math · Japan · todai-engineering-math__paper1 Integration with Partial Fractions

Calculate the following indefinite integral: $$\int \frac{x^{2} + x + 2}{x^{3} - px^{2}} \, dx$$ where $p$ is a real constant.

Calculate the following indefinite integral:
$$\int \frac{x^{2} + x + 2}{x^{3} - px^{2}} \, dx$$
where $p$ is a real constant.