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$\int35\sqrt[7]{x}\sqrt[3]{x^{2}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 35x^1/7x^2/3. Find the integral. When multiplying exponents with same base we can add the exponents. The integral of a function times a constant (35) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as \frac{17}{21}.