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236 Chapter Three
IndOnite integral of variablł multiplied
by constanŁ
Let x be a variable. Let k be a constant, and let c be the constant
of integration. The following formulł applies:
2
kx dx kx /2 c
IndOnite integral of function multiplied
by constanŁ
Let f(x) be a function of a variable x. Let k be a constant. The
following formulł applies:
kf(x) dx k f(x) dx
IndOnite integral of reciprocal
Let x be a variable. Let c be the constant of integration. The
following formulł applies:
(1/x) dx ln x c
IndOnite integral of reciprocal
multiplied by constanŁ
Let x be a variable. Let k be a constant, and let c be the constant
of integration. The following formulł applies:
(k/x) dx k ln x c
IndOnite integral of su of functions
Let f (x), f (x), f (x), ..., and f (x) be functionð of a variable x. The
n
1
3
2
following formulł applies: