Home
Class 12
MATHS
If m,n in N, then the value of inta^b(x-...

If `m,n in N,` then the value of `int_a^b(x-a)^m(b-x)^n dx` is equal to

A

`((b-a)^(m+n). M!n!)/((m+n))!`

B

`((b-a)^(m+n+1).m!n!)/((m+n+1)!`

C

`((b-a)^(m).m!)/(m!)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|34 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Definite intefral Exercise 1 : Single Option Correct Type Questions|1 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 5|20 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

int_(a)^(b) sqrt((x-a)/(b-x))dx is equal to

The value of int (dx)/(sqrt((x-a)(b-x))) , is

d/(dx) (x^(3n)) is equal to:

The total number of terms which are dependent on the value of x in the expansion of (x^2-2+1/(x^2))^n is equal to 2n+1 b. 2n c. n d. n+1

If f(a+b-x) = f(x) , then int_a^b x f(x) dx is equal to:

Let f(x) be a contiuous function such a int_n^(n+1) f(x)dx=n^3, n in Z. Then, the value of the intergral int_-3^3 f(x) dx (A) 9 (B) -27 (C) -9 (D) none of these

Evaluate : int(dx)/(x(x^n+1))

If y = n^x, n > 0 then dy/dx is equal to

If .^(m+n)P_(2)=90 and .^(m-n)P_(2)=30 , find the value of m and n is equal to.

What will be the value of (X^m)^n = ........... ?