Estimate $\int _ { 0 } ^ { 1 } e ^ { x ^ { 2 } } d x$

question 57

True/False

Estimate $\int _ { 0 } ^ { 1 } e ^ { x ^ { 2 } } d x$ by using the second Taylor polynomial for f(x) = $e ^ { x ^ { 2 } }$ . Is $\int _ { 0 } ^ { 1 } \mathrm { e } ^ { \mathrm { x } ^ { 2 } } \mathrm { dx } \approx \frac { 4 } { 3 }$ the solution?

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