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Popular Calculus >

integral of ye

Solution

\int ye d y

Solution

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

Solution steps

\int ye d y

Take the constant out:

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

= e \cdot \int y d y

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of cos(x)sqrt(9-sin^2(x))

\int cos (x) 9 - sin^{2} (x) d x

7xy^'-2y=(-x^2)/(y^6)

7 x y^{^{'}} - 2 y = \frac{- x ^{2}}{y ^{6}}

derivative of 5x^2+3x

\frac{d}{d x} (5 x^{2} + 3 x)

y^{''}-2y^'+y=12te^t+2e^t+t-4

y^{^{''}} - 2 y^{^{'}} + y = 12 t e^{t} + 2 e^{t} + t - 4

derivative of 8x-2x^2

\frac{d}{d x} (8 x - 2 x^{2})

Frequently Asked Questions (FAQ)

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