Home
Class 12
MATHS
Evaluate the following : int(0)^(a)x^...

Evaluate the following :
`int_(0)^(a)x^(2)(a-x)^((3)/(2))dx.`

A

`8 /315 a^(9/2)`

B

`16/315a^(9/2)`

C

`8/315 a^(5/2)`

D

`16/315a^(5/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|374 Videos
  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : int_(0)^(a)x^(2)sqrt(1-x)dx

Evaluate the following : int_(0)^(oo)x^(-1//2)dx

Evaluate the following : int_(0)^(1)e^(x^(2)).x^(3)dx

Evaluate the following : int_(0)^(1)x^(2)sqrt(x^(3)+1)dx

Evaluate the following : int_(0)^(pi)x sin^(3)x dx

Evaluate the following : int_(0)^(1)(cos^(-1)x)^(2)dx

Evaluate the following : int_(0)^(1)(1)/(sqrt(3+2x-x^(2)))dx

Evaluate the following: int_0^2 |x-3|dx

Evaluate the following : int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2))) .

Evaluate the following: int_-2^2 |x|dx