Jika f'(x)=2x+1 dan f(3)=6 Tentukan fungsi f(x)

jawab


f ' (x) = 2x + 1

f(x)= ∫ f'(x) dx
f(x) = ∫ 2x + 1 dx
f(x ) = x² + x + c

f(3) = 6
3²+ 3 + c = 6
12 + c = 6
c = - 6

f(x) = x² +x - 6