question find ∫₁² (-12x + 6)dx answer attempt 1 out of 3 submit answer

Answer:

-12

Explanation:

Step1: Find antiderivative

$\int(-12x + 6)dx=-12\times\frac{x^{2}}{2}+6x=-6x^{2}+6x$

Step2: Apply fundamental theorem of calculus

$(-6\times2^{2}+6\times2)-(-6\times1^{2}+6\times1)$ $=(-24 + 12)-(-6 + 6)$ $=-12-0=-12$