Evaluate: int1/(sqrt(3x+4)-sqrt(3x+1))dx...

Evaluate: `int1/(sqrt(3x+4)-sqrt(3x+1))dxdot`

Text Solution

Verified by Experts

The correct Answer is:

`(2)/(27)[(3x+4)^(3//2)+(3x+1)^(3//2)]+C`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INDEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
INDEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
HYPERBOLA
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(1)/(sqrt(3x+4)-sqrt(3x+1))dx

Evaluate: (i)int(1)/(sqrt(3x+4)-sqrt(3x+1))dx

int(1)/(sqrt(3x+2)+sqrt(3x+1))

int(1)/(sqrt(1+x)+sqrt(x+3))dx

int1/sqrt(5-3x)dx

Evaluate: int(1)/(sqrt(x)+4sqrt(x))dx

int(dx)/((sqrt(1-3x)-sqrt(5-3x)))

Evaluate: int1/(sqrt(8+3x-x^2))\ dx

Evaluate : int 1 /( sqrt( x + 3 ) - sqrt( x + 2 ) ) dx

Evaluate: int1/(sqrt(7-3x-2x^2))\ dx

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

Evaluate: int1/(sqrt(3x+4)-sqrt(3x+1))dxdot
Text Solution
|
The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...
Text Solution
|
If I=int(e^x)/(e^(4x)+e^(2e)+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)) equal
Text Solution
|
The integral int(1+x-1/x)e^(x+1/x)dx is equal to
Text Solution
|
If int f(x)dx=psi(x), then int x^5f(x^3)dx
Text Solution
|
If the integral int(5tanx)/(tanx-2)dx = x+a"ln"|sinx-2cosx|+k, then a ...
Text Solution
|
The value of sqrt(2)int(sinx)/(sin(x-(pi)/(4)))dx , is
Text Solution
|