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What is the fundamental concept in calculus?


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Solution

The fundamental concept in calculus:

  • Calculus is help us to calculate the change of certain parameters with respect to other parameters (differential calculus) and summation of the infinitely small region to calculate the area or volume of the object or space (Integral Calculus).
  • The first fundamental theorem of calculus states that, if ffis continuous on the closed interval [a,b] [a,b] and Ff is the indefinite integral of fon [a,b],then abf(x)dx=F(b)-F(a) and F is an antiderivative of f
  • It helps us to study complicated designs and structures. It has a wide variety of applications in engineering science.
  • For example, to examine the bending moment and shear force in beam and to calculate the physical quantity in intricate mechanical design

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