How do you integrate #int sqrt(4-9x^2)# using trig substitutions?
2 Answers
Explanation:
One obvious thing here is to use a sub to get the integrand looking like this
so we can say that
The integration is then
use the double-angle identity
now
giving
Explanation:
Write the integral as:
Now substitute:
To solve the last integral, we note that:
so we have:
Substituting back x:
Finally: