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Popular >

integral of (3x)/1

Solution

\int \frac{3 x}{1} d x

Solution

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

Solution steps

\int \frac{3 x}{1} d x

Take the constant out:

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

= 3 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

sum from n=1 to infinity of 2n+1

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x \to \frac{1}{2} lim (x tan (π) x)

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x \to \frac{3}{2} lim (\frac{8 x ^{3} - 27}{2 x - 3})

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\frac{d}{d x} (x^{2} e^{x} + 2 x e^{x})

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x \to \infty lim (\frac{ln ( 5 )}{( 1 + ln ( x ) )})

Frequently Asked Questions (FAQ)

What is the integral of (3x)/1 ?
The integral of (3x)/1 is (3x^2)/2+C