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Popular Calculus >

integral of 3x-3

Solution

\int 3 x - 3 d x

Solution

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

Solution steps

\int 3 x - 3 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 3 x d x - \int 3 d x

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches 3 of (2x-5)/(3x+4)

x \to 3 lim (\frac{2 x - 5}{3 x + 4})

derivative of x^{12}e^x

d er i v a t i v e x^{12} e^{x}

derivative of f(x)=-x^2+2x

d er i v a t i v e f (x) = - x^{2} + 2 x

derivative of f(x)= 1/10 x(x-2)(x-3)

d er i v a t i v e f (x) = \frac{1}{10} x (x - 2) (x - 3)

derivative of 27cos(3x)

\frac{d}{d x} (27 cos (3 x))

Frequently Asked Questions (FAQ)

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