### Home > CALC > Chapter 12 > Lesson 12.3.1 > Problem 12-111

12-111.

The function

*f*has derivatives of all orders within its radius of convergence ofabout*x*= 0 and its Maclaurin series is. Homework Help ✎Write the first four derivatives of

*f*.Expand the Maclaurin series of

*f*out to four terms. Then find the integral of this polynomial,*p*_{4}(*x*).

Remember, 3* ^{n}* is just a number, so: