Learn how to solve special products problems step by step online. Integrate int((196-t^2)^(1/2))dt. We can solve the integral \int\sqrt{196-t^2}dt by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dt, we need to find the derivative of t. We need to calculate dt, we can do that by deriving the equation above. Substituting in the original integral, we get. Factor the polynomial 196-196\sin\left(\theta \right)^2 by it's greatest common factor (GCF): 196.

Integrate int((196-t^2)^(1/2))dt