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Popular >

integral of 8-4x

Solution

\int 8 - 4 x d x

Solution

8 x - 2 x^{2} + C

Solution steps

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

\int 8 d x = 8 x

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

= 8 x - 2 x^{2}

Add a constant to the solution

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

Popular Examples

integral of 1/(\sqrt[3]{1-x)}

integral of x^{(-5)/2}

\int x^{\frac{- 5}{2}} d x

integral of x/(2x^2-8x+3)

\int \frac{x}{2 x ^{2} - 8 x + 3} d x

integral of e^{-x}(e^{2x}+e^{-2x})

\int e^{- x} (e^{2 x} + e^{- 2 x}) d x

integral of (4x)/(16x^2+1)

\int \frac{4 x}{16 x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

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