Integral help

  • Thread starter jhayes25
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  • #1
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Homework Statement


Not real good with the easy text stuff yet so ill give it a shot.

definite integral of (1/(1+t^2))dt from 0 to x^2
then find the interval for which the curve is concave upward.

I totally forgot how to integrate problems like this. It is some sort of substitution I know.

Help?

Would the integral of this involve a natural log?
 
Last edited:

Answers and Replies

  • #2
329
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What you have in your integral is arctan. Probably something you should memorize.
 
  • #3
Kurdt
Staff Emeritus
Science Advisor
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You'd need a trigonometric substitution for that integral. It works out quite neatly in the end.

Or recognise that the integrand is the derivative of arctan.
 
Last edited:

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