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Popular >

integral of 12x+24x^2

Solution

\int 12 x + 24 x^{2} d x

Solution

6 x^{2} + 8 x^{3} + C

Solution steps

\int 12 x + 24 x^{2} 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 12 x d x + \int 24 x^{2} d x

\int 12 x d x = 6 x^{2}

\int 24 x^{2} d x = 8 x^{3}

= 6 x^{2} + 8 x^{3}

Add a constant to the solution

= 6 x^{2} + 8 x^{3} + C

Popular Examples

y^{^{'}} - y = e^{x} y^{2}

derivative of (x-43/(sqrt(x)-\sqrt{43)})

\frac{d}{d x} (\frac{x - 43}{x - 43})

integral of 6sin^4(xco)s^2x

\int 6 sin^{4} (x co) s^{2} x d x

limit as x approaches 0+of d^2y

x \to 0 + lim (d^{2} y)

x^{''}+4x^'+8x=e^{-2t},x(0)=1,x^'(0)=-2

x^{^{''}} + 4 x^{^{'}} + 8 x = e^{- 2 t}, x (0) = 1, x^{^{'}} (0) = - 2

Frequently Asked Questions (FAQ)

What is the integral of 12x+24x^2 ?
The integral of 12x+24x^2 is 6x^2+8x^3+C