Home
Class 12
PHYSICS
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

Text Solution

Verified by Experts

The correct Answer is:
B
`int_(1_^(5)x^(2)dx=[(x^(3))/(3)]_(1)^(5)=[(5^(3))/(3)-(1^(3))/(3)]=(125)/(3)-(1)/(3)=(124)/(3)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

underset1overset2int 3x^2dx =???

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

1. int x^((5)/(2))dx is equal to ;

The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C is the constant of integration)

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

The integral int((x)/(x sin x+cos x))^(2)" dx is equal to (where C is a constant of integration )

The integral int((x)/(x sin x+cos x))^(2)dx is equal to (where "C" is a constant of integration

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

The integral int(1)/((1+x^(2))sqrt(1-x^(2)))dx is equal to