Evaluate integral: \(\displaystyle\int{\frac{{{x}^{{2}}-{1}}}{{{x}^{{3}}\sqrt{{{2}{x}^{{4}}-{2}{x}^{{2}}+{1}}}}}}{\left.{d}{x}\right.}\)

sempteim245

sempteim245

Answered question

2022-04-05

Evaluate integral:
x21x32x42x2+1dx

Answer & Explanation

etsahalen5tt

etsahalen5tt

Beginner2022-04-06Added 8 answers

Substitute u=1x to get
u3uu42u2+2du
This integral is much simpler, and can be solved by substituting v=u42u2+2. The final result is
x21x32x42x2+1dx=2x42x2+12x2+C

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