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Popular Calculus >

integral of-4x+8

Solution

\int - 4 x + 8 d x

Solution

- 2 x^{2} + 8 x + C

Solution steps

\int - 4 x + 8 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 4 x d x + \int 8 d x

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

\int 8 d x = 8 x

= - 2 x^{2} + 8 x

Add a constant to the solution

= - 2 x^{2} + 8 x + C

Graph

Popular Examples

integral of e^{3-2x}

\int e^{3 - 2 x} d x

integral of x/(16+x^2)

\int \frac{x}{16 + x ^{2}} d x

integral of 1/(9x-1)

\int \frac{1}{9 x - 1} d x

integral of (tagx)/(cos^2(x))

\int \frac{t a gx}{cos ^{2} ( x )} d x

integral of (2x+2)/(x^2+2x+2)

\int \frac{2 x + 2}{x ^{2} + 2 x + 2} d x

Frequently Asked Questions (FAQ)

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