That should be simple. By solving the simultaneous equations for the two curves x^2+y^2 = 1 and x+z=0. Obtain the points of intersection say (x1,y1) and (x2,y2)
Now integrate the area between the first curve x-axis (also substitute values of y in terms of x) which gives Area A1
Then integrate the area between the second curve x-axis (also substitute values of y in terms of x) which gives Area A2
Finally area enclosed between the two curves = I A1-A2 I
The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
Moderation Team
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