Difference between revisions of "009B Sample Final 3, Problem 5"

Revision as of 13:35, 28 February 2017

Find the following integrals.

(a) $\int x\cos(x)~dx$

(b) $\int \sin ^{3}(x)\cos ^{2}(x)~dx$

Solution:

(a)

(b)

Step 1:

Step 2:

(c)

Step 1:

Step 2:

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 <span class="exam"> Find the following integrals.
-<span class="exam">(a) <math>\int x\cos(x)~dx</math>
+<span class="exam">(a) &nbsp;<math>\int x\cos(x)~dx</math>
-<span class="exam">(b) <math>\int \sin^3(x)\cos^2(x)~dx</math>
+<span class="exam">(b) &nbsp;<math>\int \sin^3(x)\cos^2(x)~dx</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"