Visual meaning of 'integrals'? - learn with images, example in daily life

Visual illustration of integrals: A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

noun

A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

"The integral of xmapsto x^2 on [0,1] is rac{1}{3}."

math number science technical

Visual illustration of integrals: A definite integral, a limit of sums.

noun

A definite integral, a limit of sums.

"To calculate the total amount of water collected during the rain, we can use integrals to add up the rainfall amounts over very short intervals of time. "

Visual illustration of integrals: Antiderivative

noun

Antiderivative

"The integral of x^2 is rac{x^3}{3} plus a constant."