Solved by the radical integration. \int\frac{\sqrt{1-x^2}}{x^4}dx

Cem Hayes

Cem Hayes

Answered question

2021-05-12

Solved by the radical integration.
1x2x4dx

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-05-13Added 102 answers

Solution:
1x2x4dx
Let x=sinθdx=cosθdθ
=1sin2θsin4θcosθdθ
=cos2θsin4θdθ=cot2θcsc2θdθ
Let u=cotθdu=csc2θdθ
=u2du
=u33+c
=cot3θ3+c
=(1x2)1x23×3+c
1x2x4dx=(1x2)1x23×3+c

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