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 $\frac{x^2}{\sqrt{25-x^2}}$ inside the integral as the product of two functions: $x^2\frac{1}{\sqrt{25-x^2}}$
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$\int_{-4}^{4} x^2\frac{1}{\sqrt{25-x^2}}dx$
Learn how to solve problems step by step online. Integrate the function (x^2)/((25-x^2)^1/2) from -4 to 4. Rewrite the fraction \frac{x^2}{\sqrt{25-x^2}} inside the integral as the product of two functions: x^2\frac{1}{\sqrt{25-x^2}}. We can solve the integral \int x^2\frac{1}{\sqrt{25-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.