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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Find the integral
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$\int\frac{m^3n\sqrt{x}}{\sqrt[5]{2^4m^7n^6x}}dx$
Learn how to solve problems step by step online. Integrate the function (m^3nx^(1/2))/((2^4m^7n^6x)^(1/5)). Find the integral. Rewrite the fraction \frac{m^3n\sqrt{x}}{\sqrt[5]{2^4m^7n^6x}} inside the integral as the product of two functions: \sqrt{x}\frac{m^3n}{\sqrt[5]{2^4m^7n^6x}}. We can solve the integral \int\sqrt{x}\frac{m^3n}{\sqrt[5]{2^4m^7n^6x}}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.