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Popular Calculus >

integral of f(8-2x)

Solution

integral

f (8 - 2 x)

Solution

f^{2} (- x + 4) + C

Solution steps

\int f (8 - 2 x) df

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= (8 - 2 x) \cdot \int fdf

\int fdf = \frac{f ^{2}}{2}

= (8 - 2 x) \frac{f ^{2}}{2}

Simplify

(8 - 2 x) \frac{f ^{2}}{2} : f^{2} (- x + 4)

= f^{2} (- x + 4)

Add a constant to the solution

= f^{2} (- x + 4) + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of f(8-2x) ?
The integral of f(8-2x) is f^2(-x+4)+C