Home
Class 12
MATHS
Integrate : int(dx)/(x+sqrt(x^(2)+a^(2))...

Integrate : `int(dx)/(x+sqrt(x^(2)+a^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
`=(1)/(a^(2))[xsqrt(x^(2)+a^(2))/(2)+(a^(2))/(2)log|x+sqrt(x^(2)+a^(2))|-(X^(2))/(2)]+k`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise M C Q|8 Videos
  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|12 Videos
  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos

Similar Questions

Explore conceptually related problems

Integrate : int x log(x+sqrt(x^(2)+a^(2)))dx

Integrate : int log(x+sqrt(x^(2)+a^(2)))dx

Integrate : int log(x+sqrt(x^(2)-a^(2)))dx

Integrate : int (dx)/((x-3) sqrt(2x^(2)-12x+17))

Integrate : int (dx)/(sqrt(3-5x-2x^(2))

Integrate : int 5^(2x)dx

Integrate : int xe^(x)dx

Integrate : int (dx)/((2x^(2)+a^(2))sqrt(x^(2)+a^(2))

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

Integrate : int((xsin^(-1)x)/(sqrt(1-x^(2)))dx