Question

which of the following is equivalent to integral (a,b) k*f(x)+C)dx where k and C are constants

k integral (a,b)(f(x)+C)dx *****

intergral (a,b)kdx + intergral (a,b)f(x)dx+ intergral (a,b) Cdx

k integral (a,b)f(x)+ integral (a,b) Cdx

integral (a,b) kdx * integral (a,b) f(x) dx +integral (a,b) Cdx

Answer 1

nope, you need k * f(x) and C alone.

∫k*f(x)+C dx
= ∫k*f(x) dx + ∫C dx
= k∫f(x) dx + ∫C dx

your answer is ∫k(f(x)+C) dx