Question

Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the integrand...

Evaluate the following integral using the fundamental theorem of calculus. Sketch the graph of the integrand and shade the region whose net area you have found. Integral from negative 1 to 5 left parenthesis x squared minus 4 x minus 5 right parenthesis font size decreased by 3 dx

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Homework Answers

Answer #1

We need to find the integral

The integrand is

The graph of this is drawn below.

Using fundamental theorem there exits a differential function F(x) such that

So

Hence the area

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