📝 Integration Using Computer Algebra Systems

Q1. A dragster's velocity is given by \(v(t) = 4t^2 - 3t + 2\) (m/s) for \(0 \le t \le 5\) seconds. Using a CAS, what is the distance traveled?

💡 Difficulty: easy | ✅ Correct: C

Q2. A physics problem requires the work done by a variable force \(F(x) = 3x^2\) on a particle moving from \(x = 1\) to \(x = 4\). Using a CAS, the work is:

💡 Difficulty: medium | ✅ Correct: B

Q3. A car accelerates according to \(a(t) = 6t - 4\) (m/s\(^2\)) from \(t = 0\) to \(t = 3\) seconds. Using a CAS, what is the car's velocity at \(t = 3\) if it starts from rest?

💡 Difficulty: hard | ✅ Correct: C