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

Revision as of 11:20, 18 February 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)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+::<span class="exam">a) Express the indefinite integral <math>\int \sin(x^2)~dx</math> as a power series.
-::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
+::<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) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"