MATH 1271-2&3, MATH 1273-1
SPRING 2012, ASSIGNMENT #4 SOLUTIONS
2
1A. For x 2 sin( x )dx let u = x . and . dv = sin( x )dx then we get
x
So
du = 2 xdx. and . v = cos( x ) .
2
sin( x)dx = x 2 cos( x ) + 2 x cos( x )dx .
x cos( x)dx
For
let u = x. and . dv
MATH 1271-2&3, MATH 1273-1 SPRING 2012
ASSIGNMENT #1 SOLUTIONS
1. Determine the following sums without using a calculator or a computer. Show all
appropriate reasoning and steps.
50
A.
(i
2
i =1
=(
)
50*51 2
2
50
50
50
50
i =1
50
i =1
i =1
i =1
+ 1)(i +