Consider the function defined $by$

$A(x)={\displaystyle \underset{-x^2}{\overset{x^2}{}}}f(t)dt$

$af(t)=t^4,$ what $isA(7)?$

$A(7)=$

$bf(t)=t^{2}cos(t^3),$ what $isA(x)?$

$A(x)=$

$cf(t)is$ even and $A^{\text{'}}(x)=x^5,$ what $isf(t)?$

$f(t)=$