009B Sample Midterm 1, Problem 4

From Math Wiki
Revision as of 15:37, 1 February 2016 by MathAdmin (talk | contribs) (Created page with "<span class="exam">Evaluate the integral: ::<math>\int \sin^3x \cos^2x~dx</math> {| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations:   |-...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Evaluate the integral:


Foundations:  
Review -substitution, and
Trig identities.

Solution:

Step 1:  
First, we write .
Using the identity , we get . If we use this identity, we have
    .
Step 2:  
Now, we use -substitution. Let . Then, . Therefore,
   .
Final Answer:  
  

Return to Sample Exam