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Popular >

integral of (-6x)

Solution

\int (- 6 x) d x

Solution

- 3 x^{2} + C

Solution steps

\int - 6 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 6 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - 6 \cdot \frac{x ^{2}}{2}

Simplify

- 6 \cdot \frac{x ^{2}}{2} : - 3 x^{2}

= - 3 x^{2}

Add a constant to the solution

= - 3 x^{2} + C

Popular Examples

area f(x)=x^2+4,g(x)=-x^2-1,x=-2,x=3 area

f (x) = x^{2} + 4, g (x) = - x^{2} - 1, x = - 2, x = 3

derivative of f(x)=(x^2-1)/(2x-3)derivative of

f (x) = \frac{x ^{2} - 1}{2 x - 3}

(d^2y)/(dt^2)-4(dy)/(dt)-5y=0

\frac{d ^{2} y}{d t ^{2}} - 4 \frac{d y}{d t} - 5 y = 0

derivative of (x^4+3x^2/((x^2+1)^2))

\frac{d}{d x} (\frac{x ^{4} + 3 x ^{2}}{( x ^{2} + 1 ) ^{2}})

(\partial)/(\partial x)(A)

\frac{\partial}{\partial x} (A)

Frequently Asked Questions (FAQ)

What is the integral of (-6x) ?
The integral of (-6x) is -3x^2+C