Home
Class 12
MATHS
Evaluate : int0^1 1/(1+2x+2x^2+2x^3+x^4...

Evaluate : `int_0^1 1/(1+2x+2x^2+2x^3+x^4)dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ I = \int_0^1 \frac{1}{1 + 2x + 2x^2 + 2x^3 + x^4} \, dx, \] we will simplify the integrand first. ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA|Exercise Solved Examples And Exercises|277 Videos
  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_0^1 x/(1+x^2) dx

Evaluate: int_0^pi x/(1+cos^2x)dx

Evaluate: int_(0)^(1)(1)/(2x-3)dx

Evaluate: int_0^4 1/sqrt(x^2+2x+3)dx

Evaluate : int_(0)^(1) dx / ( 3 + 2x + x^2 )

Evaluate :int_(0)^(1)x log(1+2x)dx

Evaluate: int_0^1log(x^2+x+1)dx

Evaluate int_(0)^(1)(2-3x+x^2)dx

Evaluate : int_0^1x ln(1+2x)dx=(3I n3)/8

int_(0)^(1) (1)/(x^(2) +2x+3)dx