find the area between the curves x=-2,x=3,y=4x,y=x-5

ANSWERS

2016-04-18 08:54:09

Those are all lines... So the x interval is from -2 to 3, because of x=-2 and x=3 The upper line is y(u)=4x and the lower line is y(l)=x-5 So the area between the two lines is: A=⌠y(u)-y(l) dx A=⌠4x-x+5 dx A=⌠3x+5 dx A=[3x^2/2+5x] A=[(3x^2+10x)/2], x=[-2,3] A=(1/2)(27+30-(12-20)) A=(1/2)(57+8) A=(1/2)(65) A=32.5 u^2

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