Final Answer
$3926.093219$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{9}2\pi y^2\sqrt{y}dy$
Specify the solving method
1
Simplifying
$\int_{0}^{9}2\pi y^2\sqrt{y}dy$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{9}2\pi y^2\sqrt{y}dy$
Learn how to solve definite integrals problems step by step online. Integrate the function 2*piy^2y^1/2 from 0 to 9. Simplifying. When multiplying exponents with same base we can add the exponents. 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{5}{2}.
Final Answer
$3926.093219$