please elaborate the answers, thanks

1. Evaluate using first principles (definition). Partition the interval [0, 4] into n equal subintervals and choose a; to be the right end point of the rth subinterval. 2. Use the Fundamental Theorem of Calculus Part I to determine the derivatives of the following: 3. Determine the following indefinite integrals: ( (23 - 72 + 1123 -5) dr (ii) (3cos(7x) - 5sin(32)) dx 4. Use substitution to determine the following: sin(vr + 1) dx Vr+1 (ii) 21 - 3 dt 72 + 4 (iii) 72 - Ar +5 dt