📝 Integrals With Functions As Limits Of Integration

Q1. A dragster's velocity is given by \(v(t) = 3t^2\) meters per second. How far does it travel from \(t = 0\) to \(t = 4\) seconds?

💡 Difficulty: easy | ✅ Correct: B

Q2. If \(H(x) = \int_x^{2x} e^t \, dt\), what is \(H'(x)\)?

💡 Difficulty: medium | ✅ Correct: A

Q3. Find \(\frac{d}{dx}\) of \(M(x) = \int_{x^2}^{x^3} \cos(t) \, dt\).

💡 Difficulty: hard | ✅ Correct: A