Introduction to Integration as reverse of differenciation

 

Integration is often define as reverse of differentiation, for example.

IF dy/dx=nxⁿ⁻¹

Therefore we said ∫nxⁿ⁻¹ dx

= nxⁿ⁻¹⁺¹/n+1-1 = nxⁿ/n = xⁿ

Because if xⁿ was integrated is = xⁿ⁺¹/n+1

n+1Xⁿ⁺¹⁻¹/n+1-1= n+1xⁿ/n = xⁿ

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The statement above prove that Integration is reverse of differentiation.