Find the area of the region under the graph of $f$ on $[ a , b ]$.
$$f ( x ) = x ^ { 2 } - 2 x + 4 ; \quad [ - 1,2 ]$$
A) 3
B) $- 12$
C) 12
D) $- 3$

Name: Find the area of the region under the graph of $f$ on $[ a , b ]$. \[f ( x ) = x ^ { 2 } - 2 x + 4 ; \quad [ - 1,2 ]\] A) 3 B) $- 12$ C) 12 D) $- 3$
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Question

Quizplus · Accepted Answer

The area under the curve from $-1$ to $2$ is found by evaluating the definite integral $\int_{-1}^{2} (x^2 - 2x + 4) \, dx$. Calculating this integral gives the area as 12.

Find the Area of the Region Under the Graph Of f