Definite Integral - Calculus - Practice Questions & MCQ

Let f be a function of x defined on the closed interval [a, b] and F be another function such that    for all x in the domain of f, then 

is called the definite integral of the function f(x) over the interval [a, b],  where a is called the lower limit of the integral and b is called the upper limit of the integral. 

Geometrical Interpretation of Definite Integral 

If the function f(x) ≥ 0 for all x in [a, b],  then definite integral   is equal to the area bounded by the curve f(x) at top, the x-axis at bottom, the line x=a to the left, and the line x=b at right.

The area above the x-axis are taken with positive sign and area below the x-axis are taken with negative sign. For the figure given below,

Working Rule to evaluate definite Integral