Grade 12th passIntegral Calculus
Evaluate the definite integral (X^4)/(1-X^4) Cos^(-1)[2x/(1+x^2)] Limits are from [-1/root3 , 1/root3].
Evaluate the definite integral (X^4)/(1-X^4) Cos^(-1)[2x/(1+x^2)] Limits are from [-1/root3 , 1/root3].
1 Answer
Aditya Gupta
Assume the function to be integrated f(x)
Now replace the function by f(a+b-x) or f(-x) in this case and then add both eqns.
But arccosy+arccos(-y)=π
So 2I/π= integral of x^4/(1-x^4)
Now write it as 1/(1-x^4) - 1
Use partial fractions for 1/(1-x^4) and the question Will be solved
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