Math Help - integration

1. integration

having difficulties with integration

1. determine the area bounded by the curve y=x^2-3x+7, the x axis and the ordinates at x=1 and x=3

2. Draw the system.

3. Does the function have any zeros on $x \in (1,3)$ ?

4. Originally Posted by daniel123
having difficulties with integration

1. determine the area bounded by the curve y=x^2-3x+7, the x axis and the ordinates at x=1 and x=3
$f(x)=x^2-3x+7=ax^2+bx+c$

$b^2-4ac<0$ means that the graph does not cross the x-axis.

$f(0)=7\Rightarrow$ graph lies above the x-axis and the integration will give the area
between the curve and the x-axis.

Hence, integrate the three terms of the function and evaluate the result
from x=1 to x=3.