Home
Class 11
MATHS
Integrate the following functions with r...

Integrate the following functions with respect to x .
(i) `sqrt(x^2+2x+10)`
(ii) `sqrt(x^2-2x-3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(x+1)/2sqrt(x^2+2x+10)+10/2log|(x+1)+sqrt(x^2+2x+10)|+c`
(ii) `((x-1))/2sqrt(x^2-2x-3)-2log|(x-1)+sqrt(x^2-2x-3)|+3`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 11.13|23 Videos
  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.11|2 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

Integrate the following functions with respect to x : sqrt(x^(2) + 2x + 10 )

Integrate the following functions with respect to x : sqrt(3x + 2)

Integrate the following functions with respect to x. sqrt(x^2 - 3x + 10)

Integrate the following functions with respect to x : sqrt(x^(2) - 2x - 3 )

Integrate the following functions with respect to x. sqrt((x + 1)^2 + 4)

Integrate the following functions with respect to x. sqrt((x+1)^(2)-4)

Integrate the following functions with respect to x. sqrt(1 - 3x - x^2)

Integrate the following functions with respect to x. sqrt(9-(2x+5)^(2))

Integrate the following functions with respect to x. sqrt((2x + 1)^2 + 9)

Integrate the following functions with respect to x. sqrt((2 - x)(3 + x))