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Popular Calculus >

integral of 9-4x

Solution

\int 9 - 4 x d x

Solution

9 x - 2 x^{2} + C

Solution steps

\int 9 - 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 9 d x - \int 4 x d x

\int 9 d x = 9 x

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

= 9 x - 2 x^{2}

Add a constant to the solution

= 9 x - 2 x^{2} + C

Graph

Popular Examples

limit as x approaches-1 of x^3-x^2-5x+3

x \to - 1 lim (x^{3} - x^{2} - 5 x + 3)

tangent of y=xsqrt(x)

t an g e n t y = x x

y^{''}-(2/x)y^'-(7/(x^2))y=0

y^{^{''}} - (\frac{2}{x}) y^{^{'}} - (\frac{7}{x ^{2}}) y = 0

derivative of ln(sec(x^2))

\frac{d}{d x} (ln (sec (x^{2})))

integral of e^{x+y^2}

\int e^{x + y^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 9-4x ?
The integral of 9-4x is 9x-2x^2+C