Final Answer
$\frac{16}{3}$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{4}\sqrt{t}dt$
Specify the solving method
1
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 $\frac{1}{2}$
$\left[\frac{2}{3} 1\sqrt{t^{3}}\right]_{0}^{4}$
Learn how to solve definite integrals problems step by step online.
$\left[\frac{2}{3} 1\sqrt{t^{3}}\right]_{0}^{4}$
Learn how to solve definite integrals problems step by step online. Integrate the function t^1/2 from 0 to 4. 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}. Divide 1 by \frac{3}{2}. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$\frac{16}{3}$
Numeric Answer
$5.3333$