Please solve this 2 problems by using Matlab and Share the code . If you can give explanation it would be great .

Create a table of the values of the function f(x)=0xln(1+33t+cost)dt on the interval [0.2;1.4] with a step size x=0.2. Interpolate the table using Newton's interpolating polynomial pn(x). Find pn(0.87). Round the answer to 4 decimal places after the decimal point. Answer: Question 3 Flag question Solve the Cauchy problem (1+34+x2)y+(sin3x+3x4+2)ycos(2x2+x)=0,y(2)=4 on the interval [2,6]. Find y(3.43) accurate to within =0.0001