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Popular >

integral of x+8

Solution

\int x + 8 d x

Solution

\frac{x ^{2}}{2} + 8 x + C

Solution steps

\int 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 x d x + \int 8 d x

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

\int 8 d x = 8 x

= \frac{x ^{2}}{2} + 8 x

Add a constant to the solution

= \frac{x ^{2}}{2} + 8 x + C

Graph

Popular Examples

derivative of x^2-27

\frac{d}{d x} (x^{2} - 27)

integral of ((4x+3)(2x^2+3x)^3)

\int ((4 x + 3) (2 x^{2} + 3 x)^{3}) d x

(d^2)/(dx^2)((9x^2+6)^7)

\frac{d ^{2}}{d x ^{2}} ((9 x^{2} + 6)^{7})

slope of (-2.5)(-4.1)slope

(- 2.5) (- 4.1)

derivative of 400x

\frac{d}{d x} (400 x)

Frequently Asked Questions (FAQ)

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