Having built the graphs, it is clearly visible that we need to find the sum of the areas of the spirit of the triangles, therefore the first triangle is the intersection of the graphs y=−x+1,x=−7,x−axis ; the second triangle, respectively y=x−1,x=11,x−axis . The area of the first triangle is∫ab(−x+1)dx,a=−7,b=1→S1=32 . The area of the second triangle is ∫ab(x−1)dx,a=1,b=11→S2=50. Thus, the area of the figure limited by graphs equals S1+S2=32+50=82
Comments
Dear Tiyiselani, You are welcome. We are glad to be helpful. If you liked our service, please press a like-button beside the answer field. Thank you!
Thank you.
Leave a comment