15 .
(2)
: , . . .
, .
, : -, -, - , - , .. . , . . .
F( x ) F¢( x ). , a (t) , v (t) :
15. 1. F(x) f (x) , " Î F¢(x) = f (x)
, f (x) = 3 2, F(x) = 3 , .. " F¢(x) = ( 3)¢ = 3 2 = f (x). , F1(x) = 3+2, F2(x) = 34 F(x) = 3+, " .
, .
15.1.
) F(x) f (x) , F(x)+, , f (x) .
) F(x) () f (x) , :
F(x) = () + , .
: ) F(x) f (x), F¢(x) = f (x). (F(x) +)¢ = F¢(x) + ¢ = f (x) + 0 = f (x) , F(x) + f (x).
) F(x) () f (x), .. F¢(x) = f (x) ¢() = f (x) . j() = () F(x).
j¢() = ¢() F¢(x) = f (x) f (x) = 0 " Î.
j() , : "[ a; ]ÎX $ xÎ[ a; ] , , ..j¢() = 0 " Î, j¢(x) = 0. j() j() = 0 j() = j() " a, ÎX, , j() , .. j() = , іconst. , () F(x) = , F(x) = () + , ...
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, F(x) - f (x), f (x) F(x) +, .
15.2. F(x) +, F(x) f (x), , f (x)
,
= F(x) +,
, f (x) , f (x) dx , . .
14.1, , . .
F(x) f (x), = F(x). tga = F¢(x) = f (x). , f (x) , (, ) . , . , = F(x) (.1.)
? - .
15. 2( )
f (x) , ( , ).
: , .