Question Number 101286 by student work last updated on 01/Jul/20

∫(((x^m −x^n )^2 )/(√x))dx=?

Commented bystudent work last updated on 01/Jul/20

I need u help

Commented byprakash jain last updated on 01/Jul/20

Expand (x^m −x^n )^2 x^(2m) −2x^m x^n +x^(2n) Divide by (√x) and integrate

Commented byDwaipayan Shikari last updated on 02/Jul/20

∫((x^(2m) −2x^(m+n) +x^(2n) )/(√x))=∫x^(2m−(1/2)) −2x^(m+n−(1/2)) +x^(2n−(1/2)) (x^(2m+(1/2)) /(2m+(1/2)))−((2x^(m+n+(1/2)) )/(m+n+(1/2)))+(x^(2n+(1/2)) /(2n+(1/2)))+C