Problem on lhopitals rule and integrals

Question

Assignment:

Q1. Evaluate ∫³₁ (dt / (t + 1)²)

Q2. Differentiate the function f(x) = ln(2x+3)

Q3. Find lim_x→∞ (e^2x / (x + 5)³). Apply l’Hopital’s rule as many time as necessary, verify your results after each application.

Q4. Evaluate∫x sin h(x)dx

Provide complete and step by step solution for the question and show calculations and use formulas.