Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Simplifying
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$\int\frac{x-3}{\sqrt{\left(5-4x-x^2\right)^{3}}}dx$
Learn how to solve problems step by step online. Find the integral int((x-3)/((5-4x-x^2)^(3/2)))dx. Simplifying. Rewrite the expression \frac{x-3}{\sqrt{\left(5-4x-x^2\right)^{3}}} inside the integral in factored form. Take the constant \frac{1}{-1} out of the integral. We can solve the integral \int\frac{x-3}{\sqrt{\left(\left(x+2\right)^2-9\right)^{3}}}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x+2 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.