Trapezoidal Rule

Write MATLAB scripts for the following problems:

Deliverables: username$\_$hw$10.$mlx

Problem $1$:

Approximate ${\displaystyle \underset{0}{\overset{2}{}}}{x}^{2}dx$ using $4$ subintervals.

Problem $2$:

Approximate ${\displaystyle \underset{1}{\overset{4}{}}}(3x-1)dx$ using $6$ subintervals.

Problem $3$:

Approximate ${\displaystyle \underset{1}{\overset{9}{}}}\sqrt[\phantom{2}]{x}dx$ using $8$ subintervals.

Problem $4$:

Approximate ${\displaystyle \underset{0}{\overset{}{}}}sin(x)dx$ using $10$ subintervals.

Problem $5$:

Approximate ${\displaystyle \underset{1}{\overset{5}{}}}(2x^2-3x+\frac{1}{x})dx$ using $10$ subintervals.