Approximate the area between $${f}({x})$$ and the $${x}$$-axis from $${x}=-4$$ to $${x}=2$$ using a trapezoidal sum $$T(3)$$ with 3 equal subdivisions. ![](http://admin.getprephub.com/media/editor/i15_20221019193200194654.png)

There are 3 equal subdivisions each of length $$=\frac{2-(-4)}{3}=2 \text { unit } $$ $$T(3) =\frac{1}{2} \times 2 \times[f(-4)+f(-2)]+\frac{1}{2} \times 2[f(-2)+f(0)]+\frac{1}{2} \times 2[f(0)+f(2)] $$ $$=\frac{2}{2}(2+6)+\frac{2}{2} \times(6+3)+\frac{2}{2}[3+5]$$ $$=25 units$$

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Difficulty Level:

Easy

MCQ

Approximate the area between ${f}({x})$ and the ${x}$ -axis from ${x}=-4$ to ${x}=2$ using a trapezoidal sum $T(3)$ with 3 equal subdivisions.

Select all that apply :

$25$

$26$

$27$

$28$

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