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indefinite integral

indefinite integral

8.9
A group of functions that all have the same derivative, written as F(x) + a constant
  • noun
  • /ˌɪndɪˈfɪnɪt ˈɪntɪɡrəl/
  • Specialized
translation icon : integral indefinido
  • Here's some definite integrals difficulty seems, sorry, indefinite integrals difficulty seems pretty simple.

And at the very end, don't forget to add A + C This is an indefinite integral, it has no limits here.

Examples

  • And at the very end, don't forget to add A + C This is an indefinite integral, it has no limits here.

  • So MU of X is equal to E to the indefinite integral of this piece here.

  • So from this step we just use indefinite integrals to integrate both sides of the equation.

  • To solve the equation, we applied the indefinite integral of the function to find its general antiderivative.

  • In calculus, an indefinite integral allows us to express a family of functions that share the same derivative.

  • The professor explained that the result of the indefinite integral will always include a constant term, represented by C.

Surface Forms

Morphology

indefinite + integral

The phrase is compositionally interpretable — 'indefinite' (not fixed) + 'integral' (an antiderivative/area measure) signals an integral without fixed limits. However, the exact technical meaning (the general antiderivative expressed as F(x) + C) requires specific mathematical knowledge beyond knowing the constituent words, so a B1 learner would only partially infer the full sense.

Etymology

Indefinite integral comes from math: integral means adding up an area or making a whole, and indefinite means 'without fixed start or end'. So an indefinite integral gives the general 'antiderivative', a function that returns the original when you take its derivative, and it always includes a 'constant' because the answer is not tied to a specific start and end point.