- #1

I'm having trouble solving this integral!!

Evaluate the improper integral

int[1/(sqrt{absolute value(1-4x^2)})]dx where the upper limit=1, lower limit=0

without ignoring the absolute value sign?

Thank you in advance

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- Thread starter dan
- Start date

- #1

I'm having trouble solving this integral!!

Evaluate the improper integral

int[1/(sqrt{absolute value(1-4x^2)})]dx where the upper limit=1, lower limit=0

without ignoring the absolute value sign?

Thank you in advance

- #2

HallsofIvy

Science Advisor

Homework Helper

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Since this has an absolute value, one CAN'T do while ignoring the absolute value!

The obvious way to integrate this is to separate into two integrals, one from 0 to 1/2 and the other from 1/2 to 1:

integral (x=0 to 1/2) (1/sqrt(1- 4x^2))dx+ integral(x= 1/2 to 1)(1/sqrt(4x^2- 1))dx and then use trigonometric substitutions.

Using the definition of absolute value is certainly NOT ignoring it!

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