Integrate Simple

∫dx/[(1+√x)√(x - x2)]

5 Answers

1357
Manish Shankar ·

put √x=sinθ and proceed

11
virang1 Jhaveri ·

Cannot fiqure it out pls give the solution

1357
Manish Shankar ·

dx/(1+√x)(√x)(√(1-x))

√x=sinθ
dx/2√x=cosθdθ

∫2cosθdθ/(1+sinθ)(cosθ)
=∫2dθ/(1+sinθ)

39
Dr.House ·

after subst √x=sinθ

the integral reduces to ∫ 2/(1+sinθ)

=∫ sec2 θ/2 / (1+tanθ/2)2

now put tan θ/2 =t and proceed

11
virang1 Jhaveri ·

ok

Thx

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