Final Answer
$968$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{9}10x\sqrt{x}dx$
Specify the solving method
1
When multiplying exponents with same base you can add the exponents: $10x\sqrt{x}$
$\int_{1}^{9}10\sqrt{x^{3}}dx$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{9}10\sqrt{x^{3}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 10xx^1/2 from 1 to 9. When multiplying exponents with same base you can add the exponents: 10x\sqrt{x}. 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{3}{2}. Divide 1 by \frac{5}{2}.
Final Answer
$968$