Calculus Answers

Obtain the function whose Fourier Sine transform is
e^-as/s

∫104v−632v2dv

8
5/8
-8/5
8/5

∫21x2+x−2dx

17/6
1/2
5
14/3

If f(x) =tan(pi/4 -x)/cot2x for x not equals to pi/4 ,find the value which can be assigned to f(x) at x=pi/4 so that the function f(x) becomes continuous everywhere in [0, pi/2]

find points of discontinuity,if any
f(x)=|x-3| ,if x>=1

=x*x/4 - 3x/2 +13/4 ,if x<1

show that
http://i.imgur.com/4wwxjTc.jpg

Compute the area of the following polygon by the integral of 1/2(-y,x) on the boundary
https://lh6.googleusercontent.com/-Z31ll7x1TzY/VTedVaT-CHI/AAAAAAAAABs/NFE05oe3rok/w693-h518-no/IMG_0124.JPG

1)Evaluate the circulation
https://lh6.googleusercontent.com/-n0iAZKNoW4Q/VTedVXm3XII/AAAAAAAAABE/TV1boRBRjRQ/w693-h518-no/IMG_0125.JPG

Find the centroid of the following shapes
https://lh6.googleusercontent.com/-ZQzpWqNWaHE/VTedVaeXOnI/AAAAAAAAACQ/whcxL6upjyc/w693-h518-no/IMG_0123.JPG

1)compute the area if the following polygon by the integral of 1/2(-y,x) on the boundary
https://lh6.googleusercontent.com/-Z31ll7x1TzY/VTedVaT-CHI/AAAAAAAAABs/NFE05oe3rok/w693-h518-no/IMG_0124.JPG