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

Visual illustration of integral: 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. - Image 1

integral: 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. - Thumbnail 1

integral: 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. - Thumbnail 2

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 technical ielts

Visual illustration of integral: A definite integral, a limit of sums. - Image 1

integral: A definite integral, a limit of sums. - Thumbnail 1

integral: A definite integral, a limit of sums. - Thumbnail 2

noun

A definite integral, a limit of sums.

"The integral of the students' daily study time represents the total amount of time they spent learning. "

Visual illustration of integral: Antiderivative - Image 1

integral: Antiderivative - Thumbnail 1

integral: Antiderivative - Thumbnail 2

noun

Antiderivative

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

Visual illustration of integral: Constituting a whole together with other parts or factors; not omittable or removable - Image 1

integral: Constituting a whole together with other parts or factors; not omittable or removable - Thumbnail 1

integral: Constituting a whole together with other parts or factors; not omittable or removable - Thumbnail 2

integral: Constituting a whole together with other parts or factors; not omittable or removable - Thumbnail 3

integral: Constituting a whole together with other parts or factors; not omittable or removable - Thumbnail 4

adjective

Constituting a whole together with other parts or factors; not omittable or removable

"The student's attendance is integral to their success in the class. "

part aspect ielts

Visual illustration of integral: Of, pertaining to, or being an integer.

adjective

Of, pertaining to, or being an integer.

"The recipe calls for an integral number of eggs, not fractions. "

number math ielts

Visual illustration of integral: Relating to integration. - Image 1

integral: Relating to integration. - Thumbnail 1

integral: Relating to integration. - Thumbnail 2

adjective

Relating to integration.

"The integral part of a successful school project is collaboration among classmates. "

math science part ielts

Visual illustration of integral: Whole; undamaged.

adjective

Whole; undamaged.

"The antique vase was integral to the family's collection; it had been passed down undamaged for generations. "