Question

Asked Apr 5, 2019

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Calculate the area in square units, bounded above by g(x)=4x+10 and below by f(x)=x^{2}+6x−14 over the interval [−6,4].

Do not include units in your answer.

Step 1

The given function g(x) and f(x) are line and a parabola over the interval [-6, 4].

Since the line g(x) is bounded above f(x), the area can be calculated by the integral value of g(x) -f(x) over interval [-6, 4].

Step 2

Integrate the above expression as follows.

Step 3

On further simpli...

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