🔗 To combine 🤝 To join in 🧑‍🤝‍🧑 To end segregation 📈 To find total

to integrate

8 6.9

To find the area under a curve in math

verb
/ˈɪn.tɪ.ɡreɪt/

Specialized

: integrar

To find the area under the curve, we must integrate the function over the specified interval.
integrate an equation
determined by integrating

So we're going to differentiate U and we're going to integrate DV.

Examples

And we just say, you know, integrate the PDF from here to here.
And now we can integrate with respect to X.
So so if we integrate this thing we get the area.
Remember how to integrate this differential equation?
That's the key if I integrate the left hand side.
So we're going to integrate with respect to DX.
And this tells us that we're going to be integrating first with respect to Y.
The height of the center of mass was computed by integrating the vertical velocity.

Academic text (1995)
So you integrate the the area of this is π RDR.
The energy stored in a water-filled accumulator with volume V_o can be found by integrating the work of compression.

Academic text (1995)

Antonyms

to differentiate

Specialized

1 8.9

To find how a math function's value changes with a variable

Surface Forms

integrate infinitive

integrated past

integrated past participle

integrating present participle

integrates third person singular

Morphology

integrate = integral (transparent) = integr + ate

In mathematics the verb is directly derived from the noun 'integral' (compute the integral), so the derivation is clear within the domain.

Etymology

The math verb integrate comes from the same root as integral and integer, from Latin integer 'whole'. In math, to integrate is to add many tiny parts to find the whole, for example adding thin slices to get the total area.