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Popular >

integral of 3w

Solution

\int 3 w d w

Solution

\frac{3 w ^{2}}{2} + C

Solution steps

\int 3 w d w

Take the constant out:

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

= 3 \cdot \int w d w

Apply the Power Rule

: \frac{w ^{2}}{2}

= 3 \cdot \frac{w ^{2}}{2}

Multiply fractions:

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

= \frac{3 w ^{2}}{2}

Add a constant to the solution

= \frac{3 w ^{2}}{2} + C

Popular Examples

y^{'''}+16y^'=0

y^{^{'''}} + 16 y^{^{'}} = 0

y^{^{'}} = \frac{( x - 1 )}{y}

derivative of 1/(3^{(-x^2-y^2)+1})

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

integral of 3t^{-4}(2+4t^{-3})^{-7}

\int 3 t^{- 4} (2 + 4 t^{- 3})^{- 7} d t

integral of t^3sqrt(t^4+5)

\int t^{3} t^{4} + 5 d t

Frequently Asked Questions (FAQ)

What is the integral of 3w ?
The integral of 3w is (3w^2)/2+C