Difference between revisions of "009B Sample Final 1, Problem 6"

Revision as of 20:02, 1 February 2016

Evaluate the improper integrals:

a)

\int _{0}^{\infty }xe^{-x}~dx

b)

\int _{1}^{4}{\frac {dx}{\sqrt {4-x}}}

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

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+<span class="exam"> Evaluate the improper integrals:
+::<span class="exam">a) <math>\int_0^{\infty} xe^{-x}~dx</math>
+::<span class="exam">b) <math>\int_1^4 \frac{dx}{\sqrt{4-x}}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Foundations: &nbsp;