Diketahui f'(x) = 6x²+4x+1 dan f(1) = 5.f(x) =...
Matematika
Lutfiah2922
Pertanyaan
Diketahui f'(x) = 6x²+4x+1 dan f(1) = 5.f(x) =...
1 Jawaban
-
1. Jawaban nabnabs
[tex]f(x)=\int{f(x)} \,dx\\=\int{6x^2+4x+1} \,dx\\=2x^{3}+2x^{2}+x+C\\\\f(1)=2\times 1^{3}+2\times 1^{2}+1+C\\5=5+C\\C=0\\\\f(x)=2x^{3}+2x^{2}+x[/tex]