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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^2-10x+25

\int x^{2} - 10 x + 25 d x

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

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

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

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

integral of cos((7x)/4)

\int cos (\frac{7 x}{4}) d x

integral of e^{-2x}x^3

\int e^{- 2 x} x^{3} d x

Frequently Asked Questions (FAQ)

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