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Popular >

integral of 9-3x

Solution

\int 9 - 3 x d x

Solution

9 x - \frac{3 x ^{2}}{2} + C

Solution steps

\int 9 - 3 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 9 d x - \int 3 x d x

\int 9 d x = 9 x

\int 3 x d x = \frac{3 x ^{2}}{2}

= 9 x - \frac{3 x ^{2}}{2}

Add a constant to the solution

= 9 x - \frac{3 x ^{2}}{2} + C

Popular Examples

d/(dy)((2*3/y-3y)(6-y*3/y))

\frac{d}{d y} ((2 \cdot \frac{3}{y} - 3 y) (6 - y \cdot \frac{3}{y}))

limit as x approaches 6 of (|6-x|)/(6-x)

x \to 6 lim (\frac{∣ 6 - x ∣}{6 - x})

integral from 0 to pi/8 of tan(4x)

\int_{0}^{\frac{π}{8}} tan (4 x) d x

integral of arccos(1)

\int arccos (1) d x

derivative of f(x)=(8x)/(x^2+1)derivative of

f (x) = \frac{8 x}{x ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the integral of 9-3x ?
The integral of 9-3x is 9x-(3x^2)/2+C