Integral x(taninversex)^2/(1+x^4)dx

Asked by rraj.15266 | 27th Nov, 2017, 07:30: AM

Expert Answer:

begin mathsize 16px style integral fraction numerator xtan to the power of negative 1 end exponent straight x squared over denominator 1 plus straight x to the power of 4 end fraction dx
Put space tan to the power of negative 1 end exponent straight x squared equals straight t
fraction numerator 1 over denominator 1 plus straight x to the power of 4 end fraction cross times 2 xdx equals dt
fraction numerator begin display style straight x end style over denominator begin display style 1 plus straight x to the power of 4 end style end fraction dx equals fraction numerator begin display style dt end style over denominator 2 end fraction
1 half integral tdt
Integrate space it space further. end style

Answered by Sneha shidid | 28th Nov, 2017, 05:07: PM