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integration by parts
(vedi sia "a computation" che "a mathematical result")
integrate x*exp(x) dx
integrate arctan(x) dx
integrate arctan(x) dx from 0 to 1
mathworld subject indefinite integrals
integrate 1/(1+x^2)^2 dx from -1 to 1
integrate (3*t^2+2*t+2)/(t^3+t^2+t) dt
solid of revolution
(vedia sia "a mathematical definition" che "a class of mathematical solids")
length of curve
arc length of y=sqrt(1-x^2) from x=-1 to x=1
arc length {x = cos(t)*t, y = sin(t)*t}, 0 <= t <= 3*pi