Integral (5x+2). (3x-7) dx

Integral (5x+2). (3x-7) dx

Penjelasan dengan langkah-langkah:

f(x) = (5x + 2)(3x – 7)

f(x) = 10x² – 35x + 6x – 14

f(x) = 10x² – 29x – 14

$:$

$displaystyle = int(10 {x}^{2} - 29x - 14 ) : dx$

$= frac{10}{2 + 1} {x}^{2 + 1} - frac{29}{1 + 1} {x}^{1 + 1} - 14x$

$= frac{10}{3} {x}^{3} - frac{29}{2} {x}^{2} - 14x$

$= 3 frac{1}{3} {x}^{3} - 14 frac{1}{2} {x}^{2} - 14x + c$