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Popular >

integral of (3x)

Solution

\int (3 x) d x

Solution

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

Solution steps

\int 3 x 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

integral of x(x^2+6)^4

\int x (x^{2} + 6)^{4} d x

sum from n=1 to infinity of n/(e^{3n)}

n = 1 \sum \infty \frac{n}{e ^{3 n}}

integral of (2x+3)^{1/2}

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

derivative of (x^4/(16)+1/(2x^2))

\frac{d}{d x} (\frac{x ^{4}}{16} + \frac{1}{2 x ^{2}})

derivative of y=arccos(e^{3x})derivative of

y = arccos (e^{3 x})

Frequently Asked Questions (FAQ)

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