Error Estimate for f(x,y) using trapezoidal rule

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Please I need help. How do I find the error estimate of the trapezoidal rule of the function $$ \int_{0}^{1}\frac{x^{2}}{1+y^{3}}dy $$ using $$ -\frac{h^{2}}{12}[f'(b)-f'(a)] $$ where $$x,y\in(0,1)$$ I know the formula, the confusing part is finding $f'(b)$ and $f'(a)$. I was thinking $f'(x_{b},y_{b}) = f'(1,1)$ and $f'(x_{a},y_{a}) = f'(0,0)$. Please if I am wrong, correct me. Thanks