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Step-by-step Solution

Integrate 4x-x^2 from 0 to 4

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Answer

$\frac{32}{3}$

Step-by-step explanation

Problem to solve:

$\int_{0}^{4}\left(4x-x^2\right)dx$
1

The integral of a sum of two or more functions is equal to the sum of their integrals

$\int_{0}^{4}4xdx+\int_{0}^{4}-x^2dx$
2

Take the constant out of the integral

$4\int_{0}^{4} xdx+\int_{0}^{4}-x^2dx$

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Answer

$\frac{32}{3}$
$\int_{0}^{4}\left(4x-x^2\right)dx$

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.48 seconds