Long description: block1fig2

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The image displays the mathematical equation \(\int 2x\,dx = x^2 + \text{constant of integration}\), used to illustrate basic integration.

Alt text: A mathematical equation illustrating the fundamental theorem of calculus, showing the integral of two x degrees with respect to x, equal to x squared plus a constant of integration.

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  • The image displays the definite integral \(\int 2x \, dx = x^2 + C\).
  • An arrow points from the integral sign to the term 'the integrand', which is \(2x\).
  • An arrow points from the entire expression to the term 'constant of integration', which is \(C\).
  • The surrounding text context explains that the integral represents finding the antiderivative, and that there must always be a term of the form \(dx\) to indicate the variable of integration.

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