How can we remember the difference between differentiation and integration?

Integration is the inverse of differentiation. I.e. for differentiation of linear expressions we multiply the coeifficient with the power of the unknown and then subract 1 from the power. Integration is the opposite - we add one to the power of the unknown and then divide the coefficient by the new power. Differentiation of trigonometric functions follows a similar rule - sin differentiates to cos and as the process is inverse cos integrates to sin.