The integral underset(1)overset(5)int x^...

The integral `underset(1)overset(5)int x^(2)dx` is equal to

A

`(125)/(3)`

B

`(124)/(3)`

C

`(1)/(3)`

D

`45`

Verified by Experts

The correct Answer is:

B

`overset(5)underset(1)(int) x^(2)dx = [ (x^(3))/(3)]_(1)^(5)= [ (5^(3))/(3)- (1^(3)/(3)] = (125)/(3) - (1)/(3) = (124)/(3)`

BASIC MATHEMATICS USED IN PHYSICS &VECTORS
ALLEN|Exercise BEGINNER S BOX 1|2 Videos
BASIC MATHEMATICS USED IN PHYSICS &VECTORS
ALLEN|Exercise BEGINNER S BOX 2|3 Videos
CENTRE OF MASS
ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:(x,xlt1),(x-1,xge1):} , then underset(0)overset(2)intx^(2)f(x) dx is equal to :

The value of the integral overset(1)underset(0)int e^(x^(2))dx lies in the integral

The value of integral underset(2)overset(4)int(dx)/(x) is :-

The value of the integral underset(0)overset(1)int cot^(-1) (1-x+x^(2))dx , is

The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/(x))dx is equal to

The integral int_(1)^(5) x^(2)dx is equal to

Evaluate the following definite integrals underset(0)overset(1)int(dx)/(sqrt(1-x^(2)))

If f(x)=f(a+b-x) , then overset(b)underset(a)int xf(x)dx is equal to

The value of the integral underset(e^(-1))overset(e^(2))int |(log_(e)x)/(x)|dx is

Evaluate the following definite integrals underset(0)overset(a)int(x)/(sqrt(a^(2)+x^(2)))dx