If int (x+sqrt(1+x^(2)))^(n)dx. =(1)/(...

If `int (x+sqrt(1+x^(2)))^(n)dx`.
`=(1)/(a(n+1)){x+sqrt(1+x^(2))}^(n+1)+(1)/(-b(n-1)){x+sqrt(1+x^(2))}^(n-1)+C` Then `(a+b)` is equal to

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INDEFINITE INTEGRAL
ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos
INDEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
HYPERBOLA
ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise (Questions Asked In Previous 13 Years Exam)

If int (x+sqrt(1+x^(2)))^(n)dx. =(1)/(a(n+1)){x+sqrt(1+x^(2))}^(n+1)...
Text Solution
|
The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...
Text Solution
|
Let I=int(e^(x))/(e^(4x)+e^(2x)+1)dx, J=int(e^(-x))/(e^(-4x)+e^(-2x)+1...
Text Solution
|
The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...
Text Solution
|
"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"
Text Solution
|
int (dx)/(e^x+e^(-x)) is equal to:
Text Solution
|
If intf(x)dx=F(x), then int x^(3)f(x^(2))dx is equal to
Text Solution
|
int-2^2(x+sinx)dx is equal to :
Text Solution
|
Evalualte : int (sin2x)/((1-sin x)(2-sinx))dx.
Text Solution
|