Indefinite Integration
General
Grade 12
Question:
Evaluate $\int \sqrt{e^{4x} + 4e^{2x}} dx$
Step-by-Step Solution
Key Concept: General
Put $e^x = t \Rightarrow \int e^x \sqrt{e^{2x} + 4} dx = \int \sqrt{t^2 + 4} dt = \frac{e^x}{2}\sqrt{e^{2x} + 4} + 2\ln|e^x + \sqrt{e^{2x} + 4}| + C$
Correct Answer: A