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Calculus/integration

Expert: Paul Klarreich - 12/16/2008

Question
solve integration root tanx divided by sinx cosx

Answer
{ SQRT(tan x) dx
| -----------
} sin x cos x

{ tan x dx
| -----------------------
} sqrt(tan x) sin x cos x

{ sin x dx
| -----------------------
} sqrt(tan x) sin x cos^2 x

{ dx
| -----------------------
} sqrt(tan x) cos^2 x

{ sec^2 x dx
| --------------
} sqrt(tan x)

Now u = tan x

Calculus

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Paul Klarreich

Expertise

All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

Experience

I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

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(See above.)

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