Home
Class 12
MATHS
The value if int(x^(2)-1)/((x^(2)+1)(sqr...

The value if `int(x^(2)-1)/((x^(2)+1)(sqrt(x^(4)+1)))dx` equal to `(1)/(sqrt(2))sec^(-1)(f(x))+c`, then `f(x)` is

A

`(x^(2)-1)/(2x)`

B

`(x^(2)-1)/(sqrt(2)x)`

C

`(x^(2)+1)/(2x)`

D

`(x^(2)+1)/(sqrt(2)x)`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Competition level Questions|80 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

int((x^(2)-1))/((x^(2)+1)sqrt(x^(4)+1))dx is equal to

int(1-x^(2))/((1+x^(2))sqrt(1+x^(4)))dx is equal to

int(1)/((x-1)sqrt(x^(2)-1))dx equals

int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1))dx is equal to

int({x+sqrt(x^(2)+1)})^n/(sqrt(x^(2)+1))dx is equal to

int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))))dx is equal to

Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))dx

Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))dx

Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))dx

int(sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=

Home
Profile