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Popular >

integral of 10y

Solution

\int 10 y d y

Solution

5 y^{2} + C

Solution steps

\int 10 y d y

Take the constant out:

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

= 10 \cdot \int y d y

Apply the Power Rule

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

= 10 \cdot \frac{y ^{2}}{2}

Simplify

10 \cdot \frac{y ^{2}}{2} : 5 y^{2}

= 5 y^{2}

Add a constant to the solution

= 5 y^{2} + C

Graph

Popular Examples

integral of (x+5)(4x-11)

\int (x + 5) (4 x - 11) d x

integral of (13)/(sqrt(36-36x^2))

\int \frac{13}{36 - 36 x ^{2}} d x

derivative of cos(12x)

\frac{d}{d x} (cos (12 x))

(y+2xe^{-y/x})dx-xdy=0

(y + 2 x e^{- \frac{y}{x}}) d x - x d y = 0

derivative of f(x)=(4x-5)/(sqrt(x))derivative of

f (x) = \frac{4 x - 5}{x}

Frequently Asked Questions (FAQ)

What is the integral of 10y ?
The integral of 10y is 5y^2+C