#integrals
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you can use wolfram alpha to check, so that you don't have to wait for human response
for example
,w revolve region between y=x^2 and y=x, 0<x<1, about the y-axis
for the steps you can use
https://www.integral-calculator.com/
Solve definite and indefinite integrals (antiderivatives) using this free online calculator. Step-by-step solution and graphs included!
,w revolve region between y=6x-x^2 and y=x^2 about the y-axis
,w revolve region between y=sin x and y=cosx, 0≤x≤π about y= -1