Explore BrainMass

Integrals and differentiation

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

Find . lim e^ 2 x/(x+5)^3

Apply l'Hopital's rule as many times as necessary,
verifying your results after each application.

Evaluate ∫ x sinh(x)dx .

Determine whether
∫ (x / ^(4-x^2)) (dx)

converges or diverges. If it
converges, evaluate the integral.

Solution Summary

This shows how to differentiate a given function, find a limit, evaluate an indefinite integral, determine if a function diverges or converges, and use L'Hopital's rule.