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Rewrite the expression $\frac{1}{\sqrt{\left(5-4x-x^2\right)^{3}}}$ inside the integral in factored form
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$\int\frac{1}{-\sqrt{\left(\left(x+2\right)^2-9\right)^{3}}}dx$
Learn how to solve problems step by step online. int(1/((5-4x-x^2)^(3/2)))dx. Rewrite the expression \frac{1}{\sqrt{\left(5-4x-x^2\right)^{3}}} inside the integral in factored form. Apply the formula: \int\frac{a}{bc}dx=\frac{1}{c}\int\frac{a}{b}dx, where a=1, b=\sqrt{\left(\left(x+2\right)^2-9\right)^{3}} and c=-1. We can solve the integral -\int\frac{1}{\sqrt{\left(\left(x+2\right)^2-9\right)^{3}}}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.
