QuestionAssignment 4: Problem 13 (1 point)
Find the Taylor polynomial with 4 nonzero terms about $x=0$ for the function $f(x)=\int e^{x^{3}} d x, f(0)=0$.

Studdy Solution
Write the Taylor polynomial using these terms:
The Taylor polynomial with 4 nonzero terms is:
$$P(x) = x + \frac{x^4}{4} + \frac{x^7}{14} + \frac{x^{10}}{60}$$
The Taylor polynomial with 4 nonzero terms for $f(x)$ about $x = 0$ is:
$$\boxed{x + \frac{x^4}{4} + \frac{x^7}{14} + \frac{x^{10}}{60}}$$