For real numbers , , and , if (x^2-1)+ ^ -1 ( x^2+1 x ) (x^4+3x^2+1)+ ^ -1 ( x^2+1 x ) dx= _e ( ^ -1 ( x^2+1...

Question

For real numbers , , and , if (x^2-1)+ ^ -1 ( x^2+1 x ) (x^4+3x^2+1)+ ^ -1 ( x^2+1 x ) dx= _e ( ^ -1 ( x^2+1 x ) )+ ^ -1 ( (x^2-1) x )+ ^ -1 ( x^2+1 x )+C where C is an arbitrary constant, then the value of 10( + + ) is equal to ________.

Accepted Answer

6

JEE Main 2021 Mathematics question

Solution