Find the integral of a function, Mathematics

Assignment Help:

We want to find the integral of a function at an arbitrary location x from the origin. Thus,

1486_find the integral of a function.png

where I(x=0) is the value of the integral for all times less than 0. (Essentially, I(x=0) is the unknown constant of integration or the initial condition.) From the class lecture on the trapezoidal rule for numerical integration, it can be seen that this function can be approximated by

2413_find the integral of a function1.png

Write a Matlab function to perform numerical integration of a set of evenly spaced data points using the trapezoidal rule. Your function should accept two vectors as inputs, x and f.

The first vector (x) contains the independent variable data (the points at which the values of the function are known. The second vector (f) should contain the values of the function at the points provided in the first vector. Your function should return the integral of f with respect to x, as a function of x.


Related Discussions:- Find the integral of a function

Algebra, simplify mn+mp+nq+pq /n+p

simplify mn+mp+nq+pq /n+p

Application of statistics-forecasting, Forecasting Statistics is very ...

Forecasting Statistics is very significant for business managers while predicting the future of a business for illustration if a given business situation includes a independen

Give the introduction to scientific notation, Give the Introduction to Scie...

Give the Introduction to Scientific Notation? In mathematics, it can be very difficult and time-consuming to do calculations involving very large and very small numbers. This i

Evaluating the function at the point of limit, Calculate the value of the f...

Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop

Find the are length and sketch the level curves, 1) Find the are length of ...

1) Find the are length of r(t) = ( 1/2t^2, 1/3t^3, 1/3t^3) where t is between 1 and 3 (greater than or equal less than or equal) 2) Sketch the level curves of f(x,y) = x^2-2y^2

Learning and formulating maths teaching strategies, Before going further, l...

Before going further, let us repeat an aspect of learning which is useful to keep in mind while formulating teaching strategies. A child who can add or subtract in the context of s

Invoices and trade discounts, Natureland garden center buys lawn mowers tha...

Natureland garden center buys lawn mowers that list for $679.95 less a 30% discount. What is the dollar amount of the discount?

Shortricks, shortricks of compound interest

shortricks of compound interest

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd