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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

integral of sqrt(x)ln(2x)

\int x ln (2 x) d x

inverse oflaplace (2/s-1/(s^3))^2 inverse laplace

(\frac{2}{s} - \frac{1}{s ^{3}})^{2}

area y=sqrt(x+3),y=((x+3))/2 area

y = x + 3, y = \frac{( x + 3 )}{2}

(1-x^3)(dy)/(dx)=3x^2y

(1 - x^{3}) \frac{d y}{d x} = 3 x^{2} y

(\partial)/(\partial x)(8y)

\frac{\partial}{\partial x} (8 y)

Frequently Asked Questions (FAQ)

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