Evaluate: int(x+2)/((x^2+3x+3)sqrt(x+1))...

Evaluate: `int(x+2)/((x^2+3x+3)sqrt(x+1))\ dx`

Text Solution

Verified by Experts

The correct Answer is:

`(2)/(sqrt(3))tan^(-1)((x)/(sqrt(3(x+1))))+C`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INDEFINITE INTEGRAL
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|15 Videos
INDEFINITE INTEGRAL
ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|15 Videos
HYPERBOLA
ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate int(x dx)/(x^(3)sqrt(x^(2)-1)).

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

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx

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

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

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

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

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

Evaluate: int1/(x^(3)sqrt(x^2-1))\ dx

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

Evaluate: int(x+2)/((x^2+3x+3)sqrt(x+1))\ dx
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^(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
|
"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^(5)f(x)^(3)dx " is equal to "
Text Solution
|
If the integral int(5tanx)/(tanx-2)dx=x+a"ln"|sinx-2cosx|+k then a is...
Text Solution
|
The value of sqrt(2)int(sinx)/(sin(x-(pi)/(4)))dx , is
Text Solution
|