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Popular >

integral of kx

Solution

\int k x d x

Solution

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

Solution steps

\int k x d x

Take the constant out:

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

= k \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

derivative of x+y^3

\frac{d}{d x} (x + y^{3})

limit as x approaches 0 of (tan(7x))^x

x \to 0 lim ((tan (7 x))^{x})

integral of (20x)/(sqrt(5x^2-6))

\int \frac{20 x}{5 x ^{2} - 6} d x

tangent of f(x)= 1/(sqrt(5x))tangent of

f (x) = \frac{1}{5 x}

derivative of 5e^{20}derivative of

5 e^{20}

Frequently Asked Questions (FAQ)

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