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Popular >

integral of-9x

Solution

\int - 9 x d x

Solution

- \frac{9 x ^{2}}{2} + C

Solution steps

\int - 9 x d x

Take the constant out:

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

= - 9 \cdot \int x d x

Apply the Power Rule

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

= - 9 \cdot \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{9 x ^{2}}{2}

Add a constant to the solution

= - \frac{9 x ^{2}}{2} + C

Popular Examples

limit as x approaches 2 of sqrt(51-x)-7

x \to 2 lim (51 - x - 7)

area f(x)=x-1,1,2 area

f (x) = x - 1, 1, 2

laplacetransform sin(5t-10)laplace transform

sin (5 t - 10)

integral from 2 to 5 of x^4

\int_{2}^{5} x^{4} d x

derivative of (2x^2+5)(4x-1)derivative of

(2 x^{2} + 5) (4 x - 1)

Frequently Asked Questions (FAQ)

What is the integral of-9x ?
The integral of-9x is -(9x^2)/2+C