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Lecture

# 11.10 Taylor & Maclaurin Series Question #4 (Medium) 11.10 Taylor & Maclaurin Series Question #4 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
11.10 Infinite Sequences & Series Taylor & Maclaurin Series Question #4 (Medium): Evaluating Indefinite Integral as Infinite Series Strategy Any given function inside the indefinite integral can be expressed as a infinite series. Then put that sum expression inside the indefinite integral, then focus on the power of , since the integral is with respect to variable . Then all else is treated as number, including the series counter , but power is raised by , and that power needs to be offset by the reciprocal fraction, thus the outcome being similar series expression with power raised to one more, and offsetting coefficient added to the series expression. Remember to add the arbitrary constant factor of since it is indefinite integral. Sample Question Evaluate
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