Home
Class 11
MATHS
Find the integrals of the following : 1...

Find the integrals of the following :
`1/(sqrt((2+x)^2-1))` (ii) `1/(sqrt(x^2-4x+5))` (iii) `1/sqrt(9+8x-x^2)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `log|(2+x)+sqrt((2+x)^2-1)+c`
(ii) `log|(x-2)+sqrt(x^2-4x+5)|+c`
(iii) `sin^(-1)((x-4)/5)+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.11|2 Videos
  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.12|2 Videos
  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.9|6 Videos
  • EXAMINATION QUESTION PAPER MARCH 2019

    FULL MARKS|Exercise MATHEMATICS|49 Videos
  • INTRODUCTION TO PROBABILITY THEORY

    FULL MARKS|Exercise ADDITIONAL PROBLEM|17 Videos

Similar Questions

Explore conceptually related problems

Find the integrals of the following : (i) 1/(6x-7-x^2) (ii) 1/((x+1)^2-25) (iii) 1/(sqrt(x^2+4x+2))

Find the integrals of the following : (i) 1/(4-x^2) (ii) 1/(25-4x^2) (iii) 1/ (9x^2-4)

Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x^2))

Integrate the following functions sqrt(1+2x-3x^(2))

Integrate the following functions w.r.to 'x' . (i) 1/(sqrt(1-(4x)^2)) (ii) 1/(sqrt(1-81x^2)) (iii) 1/(1+36x^2)

(1)/(sqrt(9 + 8 x - x^(2)))