Question

What is the fundamental concept in calculus?

Answer 1

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 $f$is continuous on the closed interval $[a,b]$ and $f$ is the indefinite integral of $f$on $[a,b]$,then ${\int }_a^{b}f\left(x\right)dx=F\left(b\right)-F\left(a\right)$ 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