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6 terms

Linearization

f(a)+f'(a)(x-a)

Trapezoidal rule

b-a/2n [ f(x0 ) + 2 f(x1 ) + 2 f(x2 ) + ... + 2 f(xn-1 ) + f(xn ) ]

euler's method

yi+1 = yi = f(xi, yi)(xi+1-xi)

shell method

v= pi INT(a to b)(f(x)-g(x))^2dx

washer method

pi INT(a to b)(R^ 2- r^2)dx

arc length

pi INT(a to b) SQRT(1 +(dy/dx)^2)dx