Question #257700

Find the area bounded by y = (11 - x)^3, the lines y=x and the x-axis. *

Expert's answer

According to second theorem of Guldino, volume obtined by a rotation of a section bounded by a function f(x)

and the x-axis between a and b is :"V=\\pi\\int_a^bf^2(x)dx"

In our case, we have

"V= \\pi \\int_1^2e^{(2x)}dx=\\pi\/2(e^4-e^1)"

so it will be: "Y=(11-x)^3"

"=(11-4)^3=343"

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