How to evaluate integrals using Beta and Gamma functions and Euler's reflection formula.

Integration of greatest integer function

Lagrange’s mean value theorem

Rolle’s theorem

properties of greatest integer function

integration of modulus function

direction cosines and direction ratios

mean value theorem

dirac delta function

implicit differentiation

continuity of greatest integer function

differentiability of greatest integer function

properties of dirac delta function

differentiation under integral sign

greatest integer function integration