Home
Class 12
MATHS
Write the integral of 1/(xsqrt(x^2 - 1))...

Write the integral of `1/(xsqrt(x^2 - 1)) , x gt 1` with respect to x.

Text Solution

Verified by Experts

The correct Answer is:
`sec^(-1) x`.
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    SUBHASH PUBLICATION|Exercise TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS|60 Videos
  • INTEGRALS

    SUBHASH PUBLICATION|Exercise FIVE MARKS QUESTIONS WITH ANSWERS|14 Videos
  • DETERMINANT

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    SUBHASH PUBLICATION|Exercise TRY YOUR SELF|3 Videos

Similar Questions

Explore conceptually related problems

Find the integral of 1/(sqrt(x^(2)-a^(2))) with respect to x and evaluate int1/(sqrt(x^(2)+6x-7))

Find the integral of (1)/(sqrt(x^2-a^2)) with respect to x and hence evaluate (1)/(sqrt(x^2+4x-10))dx .

Find the integral of (1)/(sqrt(a^(2)-x^(2)) with respect to x and hence find int (1)/(sqrt(7-6x-x^(2))dx

Find the integral of (1)/(sqrt(a^(2)-x^(2)) with respect to x and hence find int(1)/(sqrt(7-6x-x^(2))dx

Find the integral of 1/sqrt(x^(2)-a^(2)) with respect to x and hence evaluate int1/sqrt(4x^(2)-25)dx .

Find the integral of (1)/(sqrt(x^(2)+a^(2))) with respect to x and hence evaluate int(1)/(sqrt(x^(2)+7))dx

Find the integral of 1/sqrt(x^2-a^2) with respect to x and hence evalute int1/sqrt(x^2-2x)dx

Integrate (2x)/( ( x^(2) + 1) ( x^(2) + 2) ) with respect to x .

Integrate (2x)/( ( x^(2) + 1) ( x^(2) + 3) ) with respect to x .

Find the integral of sqrt(a^(2)+x^(2)) with respect to x and hence evaluate intsqrt(1+x^(2))dx