Difference between revisions of "009C Sample Final 2, Problem 6"

Revision as of 17:42, 4 March 2017

(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.

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

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-::<span class="exam">a) Express the indefinite integral <math>\int \sin(x^2)~dx</math> as a power series.
+<span class="exam">(a) Express the indefinite integral &nbsp;<math>\int \sin(x^2)~dx</math>&nbsp; as a power series.
-::<span class="exam">b) Express the definite integral <math>\int_0^1 \sin(x^2)~dx</math> as a number series.
+<span class="exam">(b) Express the definite integral &nbsp;<math>\int_0^1 \sin(x^2)~dx</math>&nbsp; as a number series.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"