Learn how to solve integration by trigonometric substitution problems step by step online. Integrate the function (121-x^2)^(1/2) from 0 to 11. We can solve the integral \int\sqrt{121-x^2}dx by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dx, we need to find the derivative of x. We need to calculate dx, we can do that by deriving the equation above. Substituting in the original integral, we get. Factor the polynomial 121-121\sin\left(\theta \right)^2 by it's greatest common factor (GCF): 121.

Integrate the function (121-x^2)^(1/2) from 0 to 11