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1744 - 1829

Jean-Baptiste de Lamarck was a prominent French botanist and invertebrate zoologist, who developed a transmutation theory of change in species, which became the major fore-runner to the Darwinian theory of Natural Selection.

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I once got engaged to his daughter Honoria, a ghastly dynamic exhibit who read Nietzsche and had a laugh like waves breaking on a stern and rockbound coast.

A Term a Day:

[Mathematics: Calculus] Another term for taking the integral of a function. Its name derives from the common usage of reversing a differential process.

[Mathematics: Calculus] Another term for taking the integral of a function. Its name derives from the common usage of reversing a differential process.

Anti-differentiation is an operation that does as it sounds: it reverses the differentiation process. Notice, that the respective anti-derivatives must include a constant, since the tangent to a curve refers to a potentially infinite number of curves with that tangent.

One notation method often used is: F(x) is the anti-derivative of f(x).

The anti-differential is also referred to as the 'integral', and more usually the symbol ∫ is used to denote the integral of the function f(x).

If $F'(x) = f(x)$ then $∫f(x)dx = F(x) + c$

where $f(x)$ is the integrand, and $x$ is the variable of integration.

$∫k.f(x)dx = k∫f(x)dx$

The integral of a sum is the sum of the integrals:

$$∫[f(x) + g(x)]dx = ∫f(x)dx + ∫g(x)dx$$