How To Integrate sin^3(x)
Published On :2020-12-06 20:44:00
begin{array}{l} smallint si{n^3}x{rm{d}}x\\ smallint {sin ^2}xsin x{rm{d}}x\ smallint left( {1 - {{cos }^2}x} right)sin x{rm{d}}x\ ;;By;Substitution\ ;Suppose Rightarrow z = cos x\ ;{rm{d}}z = - sin x{rm{d}}x\\ - smallint left( {1 - {z^2}} right){rm{d}}z\ ; Rightarrow - left( {z - frac{{{z^3}}}{3}} right)\ Rightarrow - left( {cos x - frac{{{{cos }^3}x}}{3}} right) + c end{array}