$[7$ points$]$ Suppose

G$($x$)=\backslash$int$\_(2$x$^(3))^((1)/(4))$ cos$^(2)($t$^(2))$dt

a$.[3$ points$]$ Calculate G$\text{'}($x$).$

b$.[4$ points$]$ Find a constant a and a function h so that

G$($x$)=\backslash$int$\_$a$^$x h$($t$)$dt