Home
Class 12
MATHS
Find the integral of 1/(sqrt(a^(2) - x^(...

Find the integral of `1/(sqrt(a^(2) - x^(2)))` w.r.t.x and hence evaluate `int (dx)/(sqrt(7 - 6x - x^2)`.

Text Solution

Verified by Experts

The correct Answer is:
`sin^(-1)((x + 3)/(4)) + C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    SUBHASH PUBLICATION|Exercise SIX MARKS QUESTIONS WITH ANSWERS|13 Videos
  • INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|21 Videos
  • INTEGRALS

    SUBHASH PUBLICATION|Exercise TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS|60 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/(a^(2) - x^(2)) w.r.t.x and hence evaluate int (dx)/(16-x^2) .

Find the integral of 1/(sqrt(x^(2) -a^(2))) w.r.t.x and hence evaluate int (dx)/(sqrt(x^(2) + 6x + 7)) .

Find the integral of 1/(sqrt(x^(2) + a^(2))) w.r.t.x and hence evaluate int (dx)/(sqrt(x^(2) + 7)) .

Find the integral of sqrt(a^(2) - x^(2)) w.r.t.x and hence evaluate int sqrt(3 - 2x -x^(2)) dx .

Find the integral of 1/(x^(2) - a^(2)) , w.r.t.x and hence evaluate int (dx)/(x^(2) + 3x - 10)

Find the integral of sqrt(x^(2) - a^(2)) w.r.t.x and hence evaluate int sqrt(x^(2) + 4x - 5)dx .

Find the integral of 1/(a^2 + x^2) w.r.t.x and hence evaluate int (dx)/(x^(2) - 6x + 13) .

Find the integral of sqrt(x^(2)+a^(2)) w.r.t. x and hence evaluate int sqrt(x^(2) + 4x+6) , dx.

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

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