integration...

∫(tan x)1/3 dx

3 Answers

1
°ღ•๓яυΠ·

guess nt integrable

1357
Manish Shankar ·

put tanx=t3
sec2xdx=3t2dt
(1+tan2x)dx=3t2dt
(1+t6)dx=3t2dt
so the integral becomes

t.3t2dt/(1+t6)

put t2=m it becomes

(3/2)m dm/(1+m3)

now by partial fraction solve it

1
akhil mm ·

i'm getting as
1/9log!tanx!+1/6tan^2/3x+c
correct me if i'm wrong

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