Final Answer
$\frac{8\sqrt{2}}{3}$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{2}2\sqrt{x}dx$
Specify the solving method
1
The integral of a constant times a function is equal to the constant multiplied by the integral of the function
$2\int_{0}^{2}\sqrt{x}dx$
Learn how to solve definite integrals problems step by step online.
$2\int_{0}^{2}\sqrt{x}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 2x^1/2 from 0 to 2. The integral of a constant times a function is equal to the constant multiplied by 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{1}{2}. Evaluate the definite integral. Simplifying.
Final Answer
$\frac{8\sqrt{2}}{3}$