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Popular >

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

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

= 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

Popular Examples

integral of 1/(x^2-2x+2)

\int \frac{1}{x ^{2} - 2 x + 2} d x

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

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

limit as x approaches 2 of 4x-1

x \to 2 lim (4 x - 1)

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

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

integral of cos(x)+1

\int cos (x) + 1 d x

Frequently Asked Questions (FAQ)

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