How To Integrate tan^3(x)
Published On :2020-12-06 20:29:00
[begin{array}{l} smallint ta{n^{bf{3}}}x{rm{d}}x\\ smallint tanxta{n^2}x{rm{d}}x\ smallint tan xleft( {{{sec }^2}x - 1} right){rm{d}}x\ smallint tanxse{c^2}x{rm{d}}x - smallint tanx{rm{d}}x\ By;Substitution\ Suppose Rightarrow z = sec x;\ ;;;;;;;;;;dz = sec x;tan x;dx\ smallint z{rm{d}}z + ln left| {cos x} right| + c\ Rightarrow frac{{{z^2}}}{2} + ;ln left| {cos x} right| + c\ Rightarrow frac{{{{sec }^2}x}}{2} + ln left| {cos x} right| + c end{array}]