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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 1/2 x^3+2-(x+1)

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

(\partial)/(\partial x)(2x^2-3y-4)

\frac{\partial}{\partial x} (2 x^{2} - 3 y - 4)

derivative of e^{2x}-3

\frac{d}{d x} (e^{2 x} - 3)

derivative of (9x^2-15x)e^x derivative of

(9 x^{2} - 15 x) e^{x}

derivative of 4e^{x^2}derivative of

4 e^{x^{2}}

Frequently Asked Questions (FAQ)

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