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Popular >

integral of x/k

Solution

\int \frac{x}{k} d x

Solution

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

Solution steps

\int \frac{x}{k} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

\frac{1}{k} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{2 k}

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

Add a constant to the solution

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

Graph

Popular Examples

taylor x^2+x^31 taylor

x^{2} + x^{3} 1

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(4 t^{2} - t) (t^{3} - 8 t^{2} + 12)

area y=sin(x),y=2sin^2(x),x=0,x= pi/2 area

y = sin (x), y = 2 sin^{2} (x), x = 0, x = \frac{π}{2}

limit as x approaches pi-of x/(cos(x)+1)

x \to π - lim (\frac{x}{cos ( x ) + 1})

y^{''}+4y^'+3y=0

y^{^{''}} + 4 y^{^{'}} + 3 y = 0

Frequently Asked Questions (FAQ)

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