let f(α)=∫_0 ^1 ((ln(1+iαx))/(1+x^2 ))dx
1)determine a explicit form of f(α)
2) calculate ∫_0 ^1 ((ln(1+ix))/(1+x^2 ))dx and ∫_0 ^1 ((ln(1+2ix))/(1+x^2 ))dx.
Two radioactive elements A and B
has half lives of 100 and 50years.
Samples of A and B initial contains
equal numbers of atoms.What is
the ratio of the remaining atoms
of A to that of B after 200years?
If all the words with or without
meaning are written using the
letters of the word QUEEN and
are arranged as in English
dictionary.What is the position
of the word QUEEN?
a)44th b)45th c)46th d)47th