Difference between revisions of "009B Sample Final 3, Problem 6"

Revision as of 11:02, 18 February 2017

Find the following integrals

a)

\int {\frac {3x-1}{2x^{2}-x}}~dx

b)

\int {\frac {\sqrt {x+1}}{x}}~dx

Solution:

(a)

(b)

Step 1:

Step 2:

(c)

Step 1:

Step 2:

@@ Line 1: / Line 1: @@
-<span class="exam">Consider the region bounded by the following two functions:
+<span class="exam"> Find the following integrals
-::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math style="vertical-align: -4px">y=0</math>.
-<span class="exam">a) Using the lower sum with three rectangles having equal width, approximate the area.
+::<span class="exam">a) <math>\int \frac{3x-1}{2x^2-x}~dx</math>
-<span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
+::<span class="exam">b) <math>\int \frac{\sqrt{x+1}}{x}~dx</math>
-<span class="exam">c) Find the actual area of the region.
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