What is the integral of f(x)=55-4x ?

The integral of f(x)=55-4x is 55x-2x^2+C

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integral of f(x)=55-4x

integral

f (x) = 55 - 4 x

55 x - 2 x^{2} + C

Solution steps

\int 55 - 4 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 55 d x - \int 4 x d x

\int 55 d x = 55 x

\int 4 x d x = 2 x^{2}

= 55 x - 2 x^{2}

Add a constant to the solution

= 55 x - 2 x^{2} + C

\frac{2 x}{( x + 1 ) ^{2}}

\frac{( x + 8 )}{x + 7}

\frac{1}{x ^{2} + y ^{2}}

\frac{( 1 + x ^{2} )}{( 1 - x ^{3} )}

\frac{1}{1 + x ^{4}}