Indefinite Integration
General
Grade 12
Question:
Find $\int \frac{x(\sin x + \cos x) + 1}{x} dx$
Step-by-Step Solution
Key Concept: General
$$\int \frac{x(\sin x + \cos x) + 1}{x} dx = \int \left( \sin x + \cos x + \frac{1}{x} \right) dx = -\cos x + \sin x + \ln|x| + C$$
Correct Answer: A