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Popular >

integral of 8y

Solution

\int 8 y d y

Solution

4 y^{2} + C

Solution steps

\int 8 y d y

Take the constant out:

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

= 8 \cdot \int y d y

Apply the Power Rule

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

= 8 \cdot \frac{y ^{2}}{2}

Simplify

8 \cdot \frac{y ^{2}}{2} : 4 y^{2}

= 4 y^{2}

Add a constant to the solution

= 4 y^{2} + C

Popular Examples

integral of 4sin(4x)sin(3x)cos(2x)

\int 4 sin (4 x) sin (3 x) cos (2 x) d x

(\partial)/(\partial x)(e^{-3y}cos(3x))

\frac{\partial}{\partial x} (e^{- 3 y} cos (3 x))

limit as t approaches-infinity of e^t+1

t \to - \infty lim (e^{t} + 1)

derivative of 0.01(0.2x^2+4x+64^{2/3})

\frac{d}{d x} (0.01 (0.2 x^{2} + 4 x + 64)^{\frac{2}{3}})

integral from 0 to 10 of x^2e^{-0.08x}

\int_{0}^{10} x^{2} e^{- 0.08 x} d x

Frequently Asked Questions (FAQ)

What is the integral of 8y ?
The integral of 8y is 4y^2+C