Using the definition of definite integral to prove... Ask for powerful help Using the definition of definite integral, it is proved that ∫ B (upper limit of integral) a (lower limit of integral) KF (x) DX = k ∫ B (upper limit of integral) a (lower limit of integral) f (x) DX (k is a constant)

Using the definition of definite integral to prove... Ask for powerful help Using the definition of definite integral, it is proved that ∫ B (upper limit of integral) a (lower limit of integral) KF (x) DX = k ∫ B (upper limit of integral) a (lower limit of integral) f (x) DX (k is a constant)

The interval [a, b] is arbitrarily divided into N parts, and the dividing point is a = x0 ＜ x1 ＜ Let △ xi = xi-x (i-1), I = 1,2 Then ∫ B (upper limit of integration) a (lower limit of integration) KF (x) DX = LIM (λ→ 0) ∑ [KF (ξ