Final Answer
$3926.093219$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int_{0}^{9}2\pi y^2\sqrt{y}dy$
Specify the solving method
1
When multiplying exponents with same base we can add the exponents
$\int_{0}^{9}2\pi \sqrt{y^{5}}dy$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{9}2\pi \sqrt{y^{5}}dy$
Learn how to solve definite integrals problems step by step online. Integrate the function 6.283185307179586y^2y^1/2 from 0 to 9. 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}. Evaluate the definite integral.
Final Answer
$3926.093219$