Given: y=3/x, y=4−x
Point of intersection of these two curve will occur at
3/x=4−x⇒x2−4x+3=0⇒(x−3)(x−1)=0⇒x=1,3
Graph of the above function is shown below
Area of the region enclosed by these two curves
A=∫13(4−x−x3)dx=[4x−2x2−3lnx]13=12−29−3ln3−4+21+3ln1=4−3ln3 [∵ln1=0 ]
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