Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- 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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Rewrite the fraction $\frac{x}{\sqrt{16-x^2}}$ inside the integral as the product of two functions: $x\frac{1}{\sqrt{16-x^2}}$
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$\int x\frac{1}{\sqrt{16-x^2}}dx$
Learn how to solve problems step by step online. Find the integral int(x/((16-x^2)^(1/2)))dx. Rewrite the fraction \frac{x}{\sqrt{16-x^2}} inside the integral as the product of two functions: x\frac{1}{\sqrt{16-x^2}}. We can solve the integral \int x\frac{1}{\sqrt{16-x^2}}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.