Learn how to solve problems step by step online. Integrate the function -3/((4x-x^2)^(1/2)) from 2 to 1. Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: \int_a^bf(x)dx=-\int_b^af(x)dx. Rewrite the expression \frac{-3}{\sqrt{4x-x^2}} inside the integral in factored form. We can solve the integral -\int\frac{-3}{\sqrt{-\left(x-2\right)^2+4}}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.

Integrate the function -3/((4x-x^2)^(1/2)) from 2 to 1