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  • ...as <math>\frac{r^2}{2} (u - \frac{\sin 2u}{2}) + C</math>, so the definite integral equals <math>\frac{r^2}{2} \cdot \frac{\pi}{2}</math>. Multiplying by four
    9 KB (1,510 words) - 18:56, 16 January 2025
  • ...ion with [[trigonometric substitution]] in reducing complicated [[definite integral]]s to more manageable ones.
    598 bytes (88 words) - 16:03, 12 October 2006
  • == Solution 8 (Integral Calculus, not rigorous) == ...c\pi4]</math> to be very close if not equal to the given ratio. We can use definite [[integrals]] to calculate these averages.
    13 KB (1,890 words) - 21:33, 27 November 2024
  • The '''integral''' is one of the two base concepts of [[calculus]], along with the [[deriva ...ften presented in two parts, the '''indefinite integral''' and '''definite integral'''. Although this approach lacks mathematical formality, it has the advanta
    5 KB (940 words) - 15:38, 13 November 2024
  • *Applications of the definite integral
    5 KB (670 words) - 17:58, 21 February 2025
  • ...o maximize the area of the curve under the x-axis, which means we want our integral to be as negative as possible and thus the answer is <math>\boxed{\textbf{(
    12 KB (2,016 words) - 05:58, 29 July 2024