Integral x(sininversex)^2/(√1-x^4)dx

Asked by rraj.15266 | 27th Nov, 2017, 07:33: AM

Expert Answer:

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

Answered by Sneha shidid | 28th Nov, 2017, 05:06: PM