Integration (Question)


  1. ∫ 3x2 dx
  2. ∫ 5 dx
  3. ∫ 3 + x dx


It is a reverse of derivative function.

∫ k dx = kx + c
∫ xn dx = xn+1/n+1 + c
∫ sin x dx = -cos x + c
∫ cos x dx = sin x + c

Multiplication by constant
∫ kxn dx = k ∫ xn dx

Sum Rule
∫ f(x) + g(x) dx = ∫ f(x) dx + ∫ g(x) dx

Integration (Answer)

  1. x3 + c
  2. 5x + c
  3. 3x + x2/2 + c

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