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Popular >

integral of 3x^2+4

Solution

\int 3 x^{2} + 4 d x

Solution

x^{3} + 4 x + C

Solution steps

\int 3 x^{2} + 4 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 4 d x

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

\int 4 d x = 4 x

= x^{3} + 4 x

Add a constant to the solution

= x^{3} + 4 x + C

Popular Examples

limit as x approaches 3 of sqrt(x^2+7)+5

x \to 3 lim (x^{2} + 7 + 5)

derivative of y=4x^3sqrt(1-x^2)derivative of

y = 4 x^{3} 1 - x^{2}

integral of (x+4)/(x-4)

\int \frac{x + 4}{x - 4} d x

\frac{d}{d t} (6 - 3 t^{2})

(\partial)/(\partial y)((xy^2)/(t+2z))

\frac{\partial}{\partial y} (\frac{x y ^{2}}{t + 2 z})

Frequently Asked Questions (FAQ)

What is the integral of 3x^2+4 ?
The integral of 3x^2+4 is x^3+4x+C