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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
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$\int\frac{1}{\left(9+x^2\right)^{2}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((9+x^2)^(-2))dx. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. We can solve the integral \int\frac{1}{\left(9+x^2\right)^{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.