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Mathematics · JEE | APPLICATION OF INTEGRALS

हिन्दी

Which historical mathematician is credited with introducing the fundamental concepts of infinitesimal areas and calculus foundations mentioned in the chapter notes?

  1. A
    Eudoxus
  2. B
    Archimedes
  3. C
    L. Cauchy
  4. D
    Birkhoff
View Answer & Solution

Correct answer · Option C

L. Cauchy

Explanation

A.L. Cauchy developed the modern concept of limit underlying calculus justification in the early 19th century.

Related questions

Find the area bounded by the curve \( y = \cos x \) between \( x = 0 \) and \( x = 2\pi \).→Find the area of the region bounded by the line \( y = 3x + 2 \), the x-axis and the ordinates \( x = -1 \) and \( x = 1 \).→Consider the following statements regarding the application of definite integrals to find areas: (A) The area bounded by the curve \( y = f(x) \), x-axis, and lines \( x = a, x = b \) is given by \( \int_{a}^{b} y dx \). (B) If the curve lies below the x-axis, the value of the definite integral is negative, but the numerical value of area is taken as absolute value. (C) The area of the region bounded by curve \( x = g(y) \), y-axis, and lines \( y = c, y = d \) is given by \( \int_{c}^{d} x dy \). (D) Integrating with respect to y uses vertical strip elements. Which of the above statements are correct?→What is the area of the region bounded by the curve \( y = f(x) \), x-axis, and ordinates \( x = a \) and \( x = b \) (\( b > a \))?→
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