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

Evaluate `int (x^(2)+x+3)/(x^(2)-x-2)dx`.

Text Solution

Verified by Experts

The correct Answer is:

`x+log|x^(2)-x-2|+2.log|(x-2)/(x+1)|+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 (x^(3))/(x+2)dx

Evaluate int(x^(3))/(x^(4)-x^(2)-2)dx

Evaluate int_(2)^(3)(x)/(x^(2)-1)dx

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

Evaluate int 2x^(3)e^(x^(2))dx .

Evaluate: int(x^2+5x+3)/(x^2+3x+2)\ dx

Evaluate int(x^(2)dx)/((x^(3)-2)^(5)) .

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

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

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

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

Evaluate int (x^(2)+x+3)/(x^(2)-x-2)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^(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
|