# Trapezoidal rule

Not what you're looking for?

Let L(x) = int(1/t, t=1..x) for all x>0.

a) Find L(1).

b) Find L'(x) and L'(1).

c) Use the Trapezoidal Rule to approximate the value of x (to three decimal places) for which L(x) = 1.

d) Prove that L(x1 * x2) = L(x1) + L(x2), for x1 > 0 and x2 > 0.

[Obs: My CAS is Maple]

##### Purchase this Solution

##### Solution Summary

This provides an example of using trapezoidal rule.

##### Solution Preview

Please see the attachment.

Actually, we know that the antiderivative of 1/t is ln t. That is, (ln t)' = 1/t.

So if we do not use any approximation rules ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.