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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

Graph

Popular Examples

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integral of 2/(3-4x)

\int \frac{2}{3 - 4 x} d x

integral of ((e^x))/((2-e^x)^2)

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

integral of tan^5(x)sec^{(-3)/2}(x)

\int tan^{5} (x) sec^{\frac{- 3}{2}} (x) d x

integral of (e^{2x^2})/x

\int \frac{e ^{2 x^{2}}}{x} d x

Frequently Asked Questions (FAQ)

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