Final Answer
$32$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{4}\sqrt{16x^2}dx$
Specify the solving method
1
The power of a product is equal to the product of it's factors raised to the same power
$\int_{0}^{4}4xdx$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{4}4xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function (16x^2)^1/2 from 0 to 4. The power of a product is equal to the product of it's factors raised to the same power. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral.
Final Answer
$32$