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Popular >

integral of (2x+8)

Solution

\int (2 x + 8) d x

Solution

x^{2} + 8 x + C

Solution steps

\int 2 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 2 x d x + \int 8 d x

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

\int 8 d x = 8 x

= x^{2} + 8 x

Add a constant to the solution

= x^{2} + 8 x + C

Popular Examples

integral of (2x+3)/(x(x-1))

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

integral of e^xsin(pix)

\int e^{x} sin (π x) d x

integral of sqrt(x^2+a)

\int x^{2} + a d x

integral of 1/(u^{2/3)}

\int \frac{1}{u ^{\frac{2}{3}}} d u

integral of ((8+sqrt(x)+x)/x)

\int (\frac{8 + x + x}{x}) d x

Frequently Asked Questions (FAQ)

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