Properties of Definite Integral
IMPORTANT
Properties of Definite Integral: Overview
This Topic covers sub-topics such as Properties of Definite Integrals, Walli's Formula, Mean Value Theorem for Definite Integrals, Miscellaneous Properties of Definite Integrals and, Property of Even Odd Function in Definite Integral
Important Questions on Properties of Definite Integral
HARD
IMPORTANT
If is a function such that . , then has the value equal to



MEDIUM
IMPORTANT
For , let and then has the value of equal to


MEDIUM
IMPORTANT
Find where where and .

HARD
IMPORTANT
Let given where denotes fractional part of then

HARD
IMPORTANT
, then I is equal to

MEDIUM
IMPORTANT
The value of where would be :


HARD
IMPORTANT
Using properties of definite integrals, evaluate

MEDIUM
IMPORTANT
If , then the value of is





MEDIUM
IMPORTANT
The value of is:



EASY
IMPORTANT
The value of the integral is
