Write the full program which Uses the well known trapezoidal rule(The function to do this follows) to get an accurate area under the curve for the mathematical function u(t)=2t (sin2t + 8): from 0 to 0 9 radians. The function (u(t) should be gotten via a separate call to a C++ function. To further clarify, you are to write the full program and also the u(t) C++ function./*-----------------------*/double integrate (double a, double b, int n) {//Declare objects local variables for this function double sum(0), x, base, area; base = (b - a); for (int k=2; k