📝 Less Apparent Substitutions

Q1. A dragster's velocity is given by \(v(t) = 3t^2 + 2\) (m/s). Which substitution most directly simplifies the integral \(\int_0^4 v(t) \, dt\) to find the distance traveled?

💡 Difficulty: easy | ✅ Correct: D

Q2. Find the area between \(y = x^2\) and \(y = \sqrt{x}\) from \(x = 0\) to \(1\) using the substitution \(u = \sqrt{x}\).

💡 Difficulty: medium | ✅ Correct: B

Q3. Evaluate \(\int_0^{\pi/2} \ln(\sin x) \, dx\) using the substitution \(u = \sin x\).

💡 Difficulty: hard | ✅ Correct: D