Question

#Ez

Diberikan fungsi f(x) = x² + 4x + 4. Hasil integral dari turunan fungsi tersebut adalah ...

Answer 1

[tex]f(x) = x² + 4x + 4[/tex]

[tex]f'(x) = 2 \times {x}^{2-1} + 1 \times 4{x}^{1-1} + 0 \times 4{x}^{0}[/tex]

[tex] f'(x) = 2{x}^{1} + 4{x}^{0} + 0[/tex]

[tex] f'(x) = 2x + 4 \times 1 + 0 [/tex]

[tex] f'(x) = 2x + 4 [/tex]

[tex]\\[/tex]

[tex]\displaystyle\int 2x + 4\: dx[/tex]

[tex]= \frac{2}{1+1} {x}^{1+ 1} + \frac{4}{0 + 1} {x}^{0+ 1} + C [/tex]

[tex] = \frac{2}{2} {x}^{2} + \frac{4}{1} {x}^{1} + C [/tex]

[tex] = {x}^{2} + 4x + C[/tex]

[tex] \\ [/tex]

#LearnWithPanda