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Integral

Integral


A. Integral

Integral : F'(x) = f(x)  → ∫ f(x)dx = F(x) + c


B. Integral Tak Tentu

  1. Fungsi Aljabar
    1. ∫xndx = 1/n + 1 xn+1 + c, syarat n ≠ -1
    2. ∫ x-1dx = Ln x + c
    3. ∫ a dx = ax + c
    4. ∫ ex dx = ex + c
  2. Fungsi Trigonometri
    1. ∫ sin x dx = -cos x + c
    2. ∫ cos x dx = sin x + c
    3. ∫ sec2 x dx = tan x + c
    4. ∫ cosec2 x dx = -cotan x + c
    5. ∫ sec x tan x dx = -sec x + c
    6. ∫ cosec x cotan x dx = - cosec x + c

C. Integral Tertentu

Jika ∫ f(x) dx = F(x) + c, maka : b∫a f(x) dx = [F(x)]ba = F(b) - F(a)


D. Sifat Integral

∫ a f(x) dx = a ∫ f(x) + c, dengan c = konstanta
∫ {f(x) ± g(x)} dx = ∫ f(x) dx ± ∫ g(x) dx

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