009C Sample Final 2, Problem 6

a) Express the indefinite integral $\int \sin(x^{2})~dx$ as a power series.

b) Express the definite integral $\int _{0}^{1}\sin(x^{2})~dx$ as a number series.

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

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