Home
Class 12
MATHS
int (1-x^(2))/(1+x^(2)).(dx)/(sqrt(1+x^(...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(2))sin^(-1)((xsqrt(2))/(1+x^(2)))+c`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

int (x^(2)dx)/(x^(4)+1)

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

int_(0)^(2)(x^(2)dx)/(sqrt(1+x^(2)))

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

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

If y="tan"^(-1) (sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2))) show that, (dy)/(dx)=(x)/(sqrt(1-x^(4)))

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

int (x^(2)dx)/(sqrt(x+1))