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About Scott A Wilson
Expertise
I can answer any question in algebra, pre-calculus, probability, trigonometry, or statistics.

Experience
Experience in the area; I have tutored people over the years in algebra, basic math, and statistics. I worked at The Boeing Company for over 5 years. Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors. Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.

You are here: Experts > Science > Mathematics > Advanced Math > proofs of integrals involving inverse trig functions

Topic: Advanced Math

Expert: Scott A Wilson
Date: 5/19/2008
Subject: proofs of integrals involving inverse trig functions

Question
I need the proofs of
intergration of du/squareroot(a^2-u^2)
intergration of du/a^2+u^2
intergration of du/u*squareroot(u^2-a^2)
Thank you~

Answer
On the frist one, convert to a triangle with hypoteneuse a is far side u.

On the second one, set up a triangle with near side u and far side a, so he hypoteneuse is sqrt(a^2 + u^2).

On the third one, set up a triangle with hypoteneuse u and far side a, so the near side is sqrt(u^2-a^2).

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