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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

laplacetransform e^{3t}laplace transform

e^{3 t}

integral of 1/(sqrt(x^2+4x))

\int \frac{1}{x ^{2} + 4 x} d x

y^{''}-y^'-2y=-6t+6t^2

y^{^{''}} - y^{^{'}} - 2 y = - 6 t + 6 t^{2}

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

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

(\partial)/(\partial x)((0.5x^2+0.5y^2)^{1/2})

\frac{\partial}{\partial x} ((0.5 x^{2} + 0.5 y^{2})^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

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