$($Need MathLab Code $)$

Compute the following numerical integration:

$($a$)$ Given the Etin otion $f(x)=c^{-x^2},$ use the composice trapezoidal nule with $n=20$ subintervals to cstimate

the integral from $x=0$ to $x=1.$

$($b$)$ Apply the composite Simpson's rule will $n=40$ subimtervals to estimate

${\displaystyle \underset{1}{\overset{3}{}}}ln(x)dn.$

$($c$)$ Atsing Gamssian guadrature whe est$$mate the following iutegial with $t=4,5$

${\displaystyle \underset{1}{\overset{3}{}}}sinxdx$