text: # [Solved] What is the Integral of 0? | Integration of zero
  
  The integral of 0 is equal to C where C is an arbitrary constant. The integration of 0 is denoted by ∫0 dx, and its formula is given by
  
  ∫0 dx = C
  
  where C is an integration constant. In this post, we will learn how to integrate the constant 0.
  
  NOTE: We know that the derivative of a constant is 0. That is,
  
  $\dfrac{d}{dx}$ (constant) = 0.
  
  As the derivative is the opposite process of the integration, we conclude that the integral of zero is given by
  
  ## Integration of 0
  
  Question: What is the integration of 0?
  
  Solution:
  
  Using the multiplication by constant rule of integration, we have
  
  ∫0 dx = 0 ∫dx + C where C is a constant
  
  ⇒ ∫0 dx = 0 + C
  
  ⇒ ∫0 dx = C.
  
  So the integration of 0 (zero) is equal to C, a constant.
  
  What is the integration of x2
  
  ## Definite Integral of 1
  
  From above, we know that the integral of 0 is a constant C. Thus,
  
  $\int 0 \ dx$ $=\Big[C \Big]_{-1}^1$
  
  = C-C
  
  = 0
  
  So the definite integration of 0 from -1 to 1 is equal to 0.
  
  You Can Read: Integral of secx
  
  Integration of tan x
  
  ## FAQs
  
  ### Q1: What is the integral of zero?
  
  Answer: The integral of the constant zero is ∫0 dx = C, C is any constant.
  
  ### Q2: What is ∫0 dx?
  
  Answer: ∫0 dx is equal to C, a constant.