indefinite integral
- noun
- /ˌɪndɪˈfɪnɪt ˈɪntɪɡrəl/
- Specialized
- 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.
- And at the very end, don't forget to add A + C This is an indefinite integral, it has no limits here.
Examples
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And at the very end, don't forget to add A + C This is an indefinite integral, it has no limits here.
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So MU of X is equal to E to the indefinite integral of this piece here.
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So from this step we just use indefinite integrals to integrate both sides of the equation.
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To solve the equation, we applied the indefinite integral of the function to find its general antiderivative.
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In calculus, an indefinite integral allows us to express a family of functions that share the same derivative.
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The professor explained that the result of the indefinite integral will always include a constant term, represented by C.
Surface Forms
Morphology
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.