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Popular >

integral of 3x

Solution

integral

3 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^4)/(x^5-6)

\int \frac{x ^{4}}{x ^{5} - 6} d x

integral of 2cos(2x+90)

\int 2 cos (2 x + 90) d x

integral of ((sqrt(x)+4)^2)/(sqrt(x))

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

integral of 2/(3(sec(x)-1))

\int \frac{2}{3 ( sec ( x ) - 1 )} d x

integral of (3x-2)/(5x^2-3x+3)

\int \frac{3 x - 2}{5 x ^{2} - 3 x + 3} d x

Frequently Asked Questions (FAQ)

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