Maclaurin series and taylor

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Im trying to find the first four terms of Maclaurin series of $\space0.15t^2$ and evaluate
$$\int_0^1 e^{-0.15}t^2 dt $$

Please this is a revision question. How do i go about it?

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You know the Maclaurin series for $e^s$? Now you can just plug in $s=0.15t^2$. Then evaluate the integral as a sum of powers of $t$.