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Popular >

integral of 3x^2-3

Solution

\int 3 x^{2} - 3 d x

Solution

x^{3} - 3 x + C

Solution steps

\int 3 x^{2} - 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^{2} d x - \int 3 d x

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

\int 3 d x = 3 x

= x^{3} - 3 x

Add a constant to the solution

= x^{3} - 3 x + C

Graph

Popular Examples

f^'(x)=3e^x+7sec^2(x)

f^{^{'}} (x) = 3 e^{x} + 7 sec^{2} (x)

2y^{''}+y^'-y=x+5

2 y^{^{''}} + y^{^{'}} - y = x + 5

(x+y)^2dx+(2xy+x^2-8)dy=0,y(1)=1

(x + y)^{2} d x + (2 x y + x^{2} - 8) d y = 0, y (1) = 1

derivative of ln((x-2/(x+2)))

\frac{d}{d x} (ln (\frac{x - 2}{x + 2}))

3y^{''}-10y^'+3y=0,y(0)=-5,y^'(0)=-1

3 y^{^{''}} - 10 y^{^{'}} + 3 y = 0, y (0) = - 5, y^{^{'}} (0) = - 1

Frequently Asked Questions (FAQ)

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