x intercepts area integral

[winged sonnet]

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[open flume]

my textbook did this

but algebraically i got [-1,0] when i set y1 = y3

ik by looking at the graph its gonna be from [0,1] but how do i obtain that with algebra

[ripe plover]

You could calculate the intersection points of y1 and y2 by putting y1 = y2. Solve the quadratic equation and find -1 and 1. 1 being the value you need going by the graph.

[mellow oracle]

those are just the solutions to x^2+x

-1 doesn't apply here because the intersection point will not apply for the given area

thus only 0 applies here

[mellow oracle]

since all three graphs intersect at that point

[open flume]

ah i see

ty

+close