Please help me solve the last part of the problem 13. 274 points SCalcE18 5.2.52

Question

Please help me solve the last part of the problem

13. 274 points SCalcE18 5.2.529.XP.MI.SA This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and yo Tutorial Exercise Evaluate the integral by interpreting it in terms of areas Step 1 we are concerned with the segment of the line y =-x-14 that begins at (0,-14) and that ends at 2 10 4 -10 -15 Step 2 ?( x 14 dx can be interpreted as the area of the triangle above the x-axis minus the area of the triangle below the x-axis. The area of the lower triangle isAbh28 and the area of the upper triangle is 7/27

Explanation / Answer

The area of the lower triangle is (1/2)bh = (1/2)(4)(14) = 28 and the area of the upper triangle is (1/2)(3)(10.5) = 15.75

Therefore the value of the integral is -28 +15.75 = -12.25

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