Wednesday 29 August 2012
Monday 27 August 2012
Explain this paradox...
we know that integration by parts is done using
=uv=\int udv+\int vdu} "{\color{black} \int d(uv)=uv=\int udv+\int vdu}")
Now,
Let u = x and v = 1/x; then we get,
dx+\int \frac{1}{x}dx} "{\color{black} 1=\int x.(\frac{-1}{x^{2}})dx+\int \frac{1}{x}dx}")
Can you explain this???
Now,
Let u = x and v = 1/x; then we get,
Can you explain this???
Monday 13 August 2012
Number of regions...
A circle and a parabola are drawn on a sheet of paper. Find the maximum number of regions they divide the paper into.
I can see 7...can you work out and improvise?
I can see 7...can you work out and improvise?
Area of octagon...
ABCD is a square with length of a side 1 cm. An octagon is formed by lines joining the vertices of the square to the midpoints of opposite sides. Find the area of the octagon.
Answer appears to be 1/6 sq cm... try to arrive at it
Answer appears to be 1/6 sq cm... try to arrive at it
Sunday 12 August 2012
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