Home
Class 12
MATHS
Evaluate: int(dx)/sqrt(2-6x-9x^(2))dx...

Evaluate: `int(dx)/sqrt(2-6x-9x^(2))`dx

Text Solution

Verified by Experts

`int (dx)/sqrt(2-6x-9x^(2))` dx `=int1/sqrt(3-(3x+1)^(2))dx=1/3sin^(-1)(3x+1)/(sqrt(3))+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise EXERCISE -1 SUBJECTIVE QUESTIONS|1 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SUBJECTIVE QUESTIONS|14 Videos
  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos

Similar Questions

Explore conceptually related problems

int(dx)/(sqrt(6-x-x^(2)))

int (dx)/(sqrt(16-9x^(2)))

int(x+3)/(sqrt(7-6x-x^(2)))dx

int(dx)/(sqrt(1-9x^(2)))

Evaluate: int(6x+5)/(sqrt(6+x-2x^(2)))dx

int(dx)/(sqrt(4-9x^(2)))=?

int(dx)/(sqrt(9-25x^(2)))

Evaluate: int(x)/(sqrt(x+2))dx

Evaluate : int(1)/(sqrt(1-9x^(2))) " dx "

int(dx)/(sqrt(9x^(2)-4))