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Popular >

integral of x/8

Solution

\int \frac{x}{8} d x

Solution

\frac{x ^{2}}{16} + C

Solution steps

\int \frac{x}{8} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{8} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{1}{8} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{8} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{16}

= \frac{x ^{2}}{16}

Add a constant to the solution

= \frac{x ^{2}}{16} + C

Graph

Popular Examples

y^{^{'}} = y^{2}, y (0) = 1

tangent of y=x^4+9x^2-x,(1,9)tangent of

y = x^{4} + 9 x^{2} - x, (1, 9)

e^{x + y} - y^{^{'}} = 0

(dy)/(dx)=(x-2ycot(2x))

\frac{d y}{d x} = (x - 2 y cot (2 x))

integral of (7sqrt(x))/(x^3-4)

\int \frac{7 x}{x ^{3} - 4} d x

Frequently Asked Questions (FAQ)

What is the integral of x/8 ?
The integral of x/8 is (x^2)/(16)+C