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Original · English

Calculus Made Easy

Chapter I

A little bit of. The sum of.

These dreadful symbols are:

(1) d which merely means “a little bit of.” Thus dx means a little bit of x; or du means a little bit of u. But you will find that these little bits (or elements) may be considered to be indefinitely small.

dx,du

(2) ∫ which is merely a long S, and may be called (if you like) “the sum of.” Thus ∫dx means the sum of all the little bits of x; or ∫dt means the sum of all the little bits of t.

∫dx,∫dt

The word “integral” simply means “the whole.” If you think of the duration of time for one hour, you may (if you like) think of it as cut up into 3600 little bits called seconds. The whole of the 3600 little bits added up together make one hour.

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Translation · European Spanish

El cálculo al alcance de todos

Capítulo I

Un poquito. La suma.

Estos temibles símbolos son:

(1) d, que solo significa «un poquito de». Así, dx es un poquito de x; du, un poquito de u. Pero verá que estos pequeños trozos (o elementos) pueden considerarse indefinidamente pequeños.

dx,du

(2) ∫, que no es más que una S alargada y puede llamarse, si lo desea, «la suma de». Así, ∫dx es la suma de todos los pequeños trozos de x; ∫dt, la de todos los de t.

∫dx,∫dt

La palabra «integral» significa simplemente «el todo». Puede imaginar una hora dividida en 3600 pequeños trozos llamados segundos. Todos esos 3600 trozos sumados forman una hora.

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From an English book to a Spanish EPUB

Translate the complete English EPUB, choose Spanish and your output, then download a book you can keep reading.

  1. Keep the book in EPUB format

    Download a Spanish EPUB that retains chapters, the table of contents, images, and reading structure where possible. Check navigation and notes against the English original.

  2. Read in Spanish or compare both languages

    Choose translation-only output for Spanish text, or a bilingual EPUB with each English passage followed by its Spanish translation.

  3. Specify your Spanish preferences

    Add instructions for regional Spanish, character names, and terminology. For example: “Use Latin American Spanish, keep character names in English, and translate ‘machine learning’ as ‘aprendizaje automático’.” Review important wording in the result.

  4. Check pricing and download your book

    New users receive trial credits. Translation is charged by usage. See current rates on Pricing, then download the EPUB from the completed task.

Frequently asked questions

How do I translate an English EPUB into Spanish?

Upload your English EPUB, select Spanish as the target language, and choose translated or bilingual output. Add any translation instructions, submit the task, and download the EPUB when it finishes.

Can I choose Spanish from Spain or Latin America?

Describe your preference in the translation instructions, such as “Use Spanish from Spain” or “Use Latin American Spanish.” These instructions guide the translation; review important expressions in the result.

Can I keep the English text for comparison?

Yes. Choose bilingual output to keep each English passage followed by its Spanish translation. Choose translation-only output for Spanish text alone.

Do I need the desktop app?

You can translate and download your EPUB online. PDF Craft Desktop is an additional option for reading and organizing the original and translated editions. You can also use your preferred EPUB reader.