Final Answer
$\frac{256}{7}$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{4}\frac{x^3}{\sqrt{x}}dx$
Specify the solving method
1
Simplify the fraction $\frac{x^3}{\sqrt{x}}$ by $x$
$\int_{0}^{4}\sqrt{x^{5}}dx$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{4}\sqrt{x^{5}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^3)/(x^1/2) from 0 to 4. Simplify the fraction \frac{x^3}{\sqrt{x}} by x. 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{5}{2}. Divide 1 by \frac{7}{2}. Evaluate the definite integral.
Final Answer
$\frac{256}{7}$