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Popular >

integral of (6x+8)

Solution

\int (6 x + 8) d x

Solution

3 x^{2} + 8 x + C

Solution steps

\int 6 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 6 x d x + \int 8 d x

\int 6 x d x = 3 x^{2}

\int 8 d x = 8 x

= 3 x^{2} + 8 x

Add a constant to the solution

= 3 x^{2} + 8 x + C

Popular Examples

integral of 1/(sqrt((1-x^2)))

\int \frac{1}{( 1 - x ^{2} )} d x

10y^{''}+80y^'+200y=0

10 y^{^{''}} + 80 y^{^{'}} + 200 y = 0

derivative of f(x)= x/(sqrt(x^2+2))derivative of

f (x) = \frac{x}{x ^{2} + 2}

d/(d{r)}(6((6{r}-1)*k+{r})-1)

\frac{d}{d r} (6 ((6 r - 1) \cdot k + r) - 1)

(\partial)/(\partial x)(ln(x/(x+y)))

\frac{\partial}{\partial x} (ln (\frac{x}{x + y}))

Frequently Asked Questions (FAQ)

What is the integral of (6x+8) ?
The integral of (6x+8) is 3x^2+8x+C