Find $\frac{dy}{2}ty={\displaystyle \underset{ie}{\overset{x^2}{}}}{e}^{t}tantdt.$

For an indefrolle integral, use the notation INT in place of the symbol. For example, ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x1)$ dir should be written as INT $(x1)dx.$ For a detinite integral, use the notation INT $(a,b).$ For example, ${\displaystyle \underset{1}{\overset{2}{}}}(x1)dx$ should be writien as INT $(1,2)(x1)dx.$ For a define integral that has been integrated, we the notation EVAL $(a,b).$ For example. $(\frac{x^2}{2}x){|}_1^2||$ should be written as $(\frac{x^2}{2}x)$ EVAL $(1,2).$

$($t points$)$