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Popular >

integral of-16x

Solution

\int - 16 x d x

Solution

- 8 x^{2} + C

Solution steps

\int - 16 x d x

Take the constant out:

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

= - 16 \cdot \int x d x

Apply the Power Rule

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

= - 16 \cdot \frac{x ^{2}}{2}

Simplify

- 16 \cdot \frac{x ^{2}}{2} : - 8 x^{2}

= - 8 x^{2}

Add a constant to the solution

= - 8 x^{2} + C

Popular Examples

integral of (x+1)^{10}(x+2)

\int (x + 1)^{10} (x + 2) d x

derivative of 1/(x-6)derivative of

\frac{1}{x - 6}

area x, 1/x , 1/2 area

x, \frac{1}{x}, \frac{1}{2}

derivative of y=ln(sec(x))derivative of

y = ln (sec (x))

limit as x approaches 0 of (1/x)^{x^2}

x \to 0 lim ((\frac{1}{x})^{x^{2}})

Frequently Asked Questions (FAQ)

What is the integral of-16x ?
The integral of-16x is -8x^2+C