## Related questions with answers

Question

Suppose that the trapezoidal rule is used to estimate the value of $\int_{0}^{0.2} \int_{-0.1}^{0.1} e^{x^{2}+2 y} d y d x$. Determine the smallest value of n so that the resulting approximation $T_{n, n}$ is accurate to within $10^{-4}$ of the actual value of the integral.

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