What is the antiderivative of #f(x) = 5#?
1 Answer
Jul 12, 2016
5x +c
Explanation:
Consider the
#color(blue)"power rule for integration"#
#color(red)(|bar(ul(color(white)(a/a)color(black)(int(ax^n)dx=a/(n+1)x^(n+1))color(white)(a/a)|)))# 5 may be expressed as
#5x^0# and so
#int(5x^0)dx=5/1x^(0+1)+c=5x+c # ( c is constant of integration.)
#rArrf(x)=5rArrF(x)=5x+c#
