8. Integration by Trigonometric Substitution
by M. Bourne
In this section, we see how to integrate expressions like
Depending on the function we need to integrate, we substitute one of the following to simplify the expressions to be integrated:
For `sqrt(a^2-x^2)`, use ` x =a\ sin\ theta`
For `sqrt(a^2+x^2)`, use ` x=a\ tan\ theta`
For `sqrt(x^2-a^2)`, use `x=a\ sec\ theta`
After we use these substitutions we'll get an integral that is "do-able".
Integrate each of the given functions:
2. `int(3\ dx)/(xsqrt(4-x^2))`
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