Efficient integral function in Matlab

Question

I have a function of the form a*x + b and I want to integrate this function from 0 to t where t will be set to the values of a very large (length 100000) vector repeatedly. I used quad function in a for loop, but it takes too much time to compute the integral for each value in the vector. Is there any efficient way to implement this in Matlab?

Answer 1

Actually, you dont need to implement it yourself, you may search it by using "matlab numerical integration functions"...

First functons comes into my mind are;

Trapezoidal --> trapz(X,Y)

Cumulative Trapezoidal --> cumtrapz(X,Y)

Adaptive Lobatto Quadrature --> quadl

Adaptive Gauss-Kronrod Quadrature --> quadgk

Vectorized Quadrature --> quadv

Answer 2

cumtrapz();

seriously CumTrapz

It computes the trapazoidal aproximation of the integral.