Question

integrate the following :
a x square + bx + c​

Answer 1

SOLUTION

$\rm I = \int(a {x}^{2} + bx + c)dx$

$\rm I = \int(a {x}^{2})dx + \int( bx)dx+ \int(c)dx$

$\rm I = \frac{a. {x}^{2 + 1}}{2 + 1} + \frac{ b .{x}^{1 + 1} }{1 + 1} + cx + k$

$\rm I = \frac{a. {x}^{3}}{3} + \frac{ b .{x}^{2} }{2} + cx + k$