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Popular >

integral of ky

Solution

\int k y d y

Solution

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

Solution steps

\int k y d y

Take the constant out:

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

= k \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of (3x^7-7x+11/(2x^3))

\frac{d}{d x} (\frac{3 x ^{7} - 7 x + 11}{2 x ^{3}})

integral of sqrt(6+10x-x^2)

\int 6 + 10 x - x^{2} d x

(\partial)/(\partial y)(xyz+xy^2+yz^2+zx^2)

\frac{\partial}{\partial y} (x yz + x y^{2} + y z^{2} + z x^{2})

integral of (x+3)/(x^2+5x-6)

\int \frac{x + 3}{x ^{2} + 5 x - 6} d x

limit as x approaches 1 of-4

x \to 1 lim (- 4)

Frequently Asked Questions (FAQ)

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