Tutorial Week 5
Trigonometric Substitution
Q1: Integrate \(\int \frac{1}{\sqrt{x^2 + 10x + 27}} dx\).
Area Between Functions
Q2: Find the area between the functions \(f(x) = x + 1\) and \(f(x) = x^2 - 1\) on the interval \(x \in [0, 3]\).
Midterm Review
Q3: Let \(F(x) = \int \frac{3}{\sqrt{4 - x^2}} dx\) and \(F(2) = 5\). Find \(F(\sqrt{3})\).
