Evaluate the definite integral (X^4)/(1-X^4) Cos^(-1)[2x/(1+x^2)] Limits are from [-1/root3 , 1/root3].

Question

Aditya Gupta · Answer

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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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].

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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].

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