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Popular >

integral of 3x^2-12

Solution

\int 3 x^{2} - 12 d x

Solution

x^{3} - 12 x + C

Solution steps

\int 3 x^{2} - 12 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 12 d x

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

\int 12 d x = 12 x

= x^{3} - 12 x

Add a constant to the solution

= x^{3} - 12 x + C

Popular Examples

integral of x^9sqrt(x^5+2)

\int x^{9} x^{5} + 2 d x

xy^'-y^2ln(x)+y=0

x y^{^{'}} - y^{2} ln (x) + y = 0

limit as x approaches 3 of 7x-6

x \to 3 lim (7 x - 6)

derivative of sin(x)derivative of

sin (x)

(\partial)/(\partial x)(1000-4xy+xy^2)

\frac{\partial}{\partial x} (1000 - 4 x y + x y^{2})

Frequently Asked Questions (FAQ)

What is the integral of 3x^2-12 ?
The integral of 3x^2-12 is x^3-12x+C