In ∫ x³ 3ˣ dx by parts (u = x³, dv = 3ˣ dx), what is v?

University of Ilorin MTH102 2026-exam past question

1. 3ˣ ln 3
2. x⁴/4
3. 3ˣ/ln 3
4. 3x²

Register free to see the answer and step-by-step explanation

More University of Ilorin MTH102 2026-exam past questions

Related questions

• If ln y = x, find dy/dx.
• The second-derivative condition for a minimum point of a curve (where dy/dx = 0) is:
• A particle moves so that Y = 20t + (2/3)t³ − (3/2)t² metres. Find its velocity at t = 0 s.
• Y = (x − 2)³. Find the stationary (turning) point.
• Evaluate ∫ x tan⁻¹x dx.
• Find the total area enclosed between the curves y = x and y = x³.