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$\int_{1}^{\frac{61}{25}}\sqrt{x}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^1/2 from 1 to 61/25. Simplifying. 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{1}{2}. Evaluate the definite integral. Simplify the expression inside the integral.