1) decompose inside C(x) the fraction
F(x)= (3/(4+x^4 ))
2) find ∫_(−∞) ^(+∞) (dx/(x−z)) with z from C
3) find the value of ∫_(−∞) ^(+∞) ((3dx)/(4+x^4 )) .
Given the lines
l_1 ; 3y = 2x ,l_2 ; y = −((3x)/2) + p
and l_3 ; y ^ = x + 1
a) find the value of p if
the point of intersection between
l_1 and l_2 is (3,5)
b) find the cosine of the angle
between l_2 and l_3
c) which line holds the point
(1,2).
d)find the line l_4 with gradient
∫_4 ^π [l_1 + l_2 dx] perpendicur to
l_2 ,parrallel to l_1 .