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Midterm

MATH 2B Study Guide - Midterm Guide: Good Luck!!Premium


Department
Mathematics
Course Code
MATH 2B
Professor
All
Study Guide
Midterm

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Midterm 2 Review
Example #1
()

Notice that we can split this into two products
()()
Now that we have two values, notice that we can use integration by parts
= (), , =

 = ,, = 

()
 = ()(
)
(
)

= ()(
) +
(
) +
=
(())
 +
Example #2
(3)
Integration by parts again
= (3), , = 3((3))
 = ,, =
(3) = (3)
(3((3)))
(3) = (3) 3
((3))
(3)
= (3), , = 3((3))
 = ,, =
(3) = (3) + 3
(3)
(3) = (3) 3((3)+ 3
(3))
(3) = (3) 3((3)) 9
(3)
10
(3) = (3) 3((3))
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(3) = (
)(3) 3((3)) +
Example #3
 =
()
(1 )()
= 
 = 
(1 )
+ 21
+
+
 +
  +
Example #4



=
, =
, , =

(4) = 2,  (22) = 2
()(2)

() ( 2  2)
(2)
(2)
(
)
(
)
=

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