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Question
integrate 0 from pi/4 tan^(2)xdx

Answer
Questioner:   bhavika
Category:  Calculus
 
Subject:  integration
Question:  integrate 0 from pi/4 tan^(2)xdx
......................................
Hi, Bhavika,

I get worried when a questioner does not read my answer for several days.  Perhaps you died?  Were you arrested and sent to a gulag?

So I sent the reminder notice before trying to do the next example:

{pi/4
|     tan^2(x) dx =
}0

{pi/4
|    (sec^2(x) - 1) dx =
}0

tan x - x  from 0 to pi/4

(1  -  pi/4) - (0 - 0) =

1 - pi/4,  about 0.215

Calculus

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Paul Klarreich

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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.

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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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