?If $f(x)=\int_{0}^{x}\left(1-t^{2}\right) \ e^{t^{2}} \ d t$, on what interval is

Chapter 4, Problem 72

(choose chapter or problem)

If $f(x)=\int_{0}^{x}\left(1-t^{2}\right) \ e^{t^{2}} \ d t$, on what interval is $f$ increasing?

Equation Transcription:

f(x) = ∫ ${\ }_{0}^{x}$ (1 - t2) ${e}^{{t}^{2}}$ dt

Text Transcription:

f(x) = integral_0 ^x (1-t^2) e^t^2 dt

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?If \(f(x)=\int_{0}^{x}\left(1-t^{2}\right) \ e^{t^{2}} \ d t\), on what interval is