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?
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
It computes the trapazoidal aproximation of the integral.