Use the graph of function integral(x) given to the Lm to answer the questions th

Question

Use the graph of function integral(x) given to the Lm to answer the questions that follow. Assume that gridlines each mark one unit. Is integral^1_-4 integral(x) dx positive or negative? Explain your claim. Estimate integral^0_-3 integral(x) dx using a left Riemann sum with Delta x = 1. Does that sum give an underestimate or an overestimate of the actual value of the definite integral, or is it not possible to tell? Explain your contention. Estimate integral^2_1 integral(x) dx using the right Riemann sum with Delta x=1. Does that sum given an underestimate or an overestimate of the actual value of the definite integral, or is it not possible to tell? Explain your contention.

Explanation / Answer

The area under the x- axis from [-4,1] is greater that area above the x- axis. So the integral is negative in this part.

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