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Popular >

integral of 5y

Solution

\int 5 y d y

Solution

\frac{5 y ^{2}}{2} + C

Solution steps

\int 5 y d y

Take the constant out:

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

= 5 \cdot \int y d y

Apply the Power Rule

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

= 5 \cdot \frac{y ^{2}}{2}

Multiply fractions:

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

= \frac{5 y ^{2}}{2}

Add a constant to the solution

= \frac{5 y ^{2}}{2} + C

Popular Examples

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

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\int sec (x) tan (x) sin (sec (x)) d x

integral of (x-1)/((x-2)^2(x-3)^2)

\int \frac{x - 1}{( x - 2 ) ^{2} ( x - 3 ) ^{2}} d x

derivative of (x-1/(x+1))

\frac{d}{d x} (\frac{x - 1}{x + 1})

d/(d{x)}(({x)/y {z}}{{x}^2+{y}^2+{z}^2})

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

Frequently Asked Questions (FAQ)

What is the integral of 5y ?
The integral of 5y is (5y^2)/2+C