MAT136H1 Lecture : 11.9 Function Representation as Power Series Question #5 (Medium)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #5 (medium): definite integral approximation using power series. Power series representation of the definite integral can be used to approximate definite integrals that are almost impossible to integrate by hand. First, express the definite integral as a power series as usual, then plug in the end point of the interval from the definite integral then approximate the value, considering the error bound. Use a power series to approximate the definite integral to seven decimal places. First take the function within the definite integral: ( ) . This is alternating series, so the error is at most.