How to calculate when normal distriubtion table is not enough?

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When the standard normal distribution table is insufficient, particularly for values beyond its range like -4.32, alternative methods must be employed. Users can utilize extended normal distribution tables or calculators to find the necessary probabilities. Numerical approximations, such as those outlined in Equation #11 from MathWorld, can also be effective for calculations outside the typical range. These resources provide essential tools for evaluating integrals that the standard table cannot address. Understanding these alternatives is crucial for accurate statistical analysis.
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how to calculate when normal distriubtion table is not enough??

so the values for the standard normal distribution table goes from [-3, 3]. I'm asked to evaluate an integral from -infinity to -4.32.

how do I do that?
 
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