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Popular >

integral of 3x^2+C

Solution

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

Solution

x^{3} + C x + C

Solution steps

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

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

\int C d x = C x

= x^{3} + C x

Add a constant to the solution

= x^{3} + C x + C

Popular Examples

derivative of f(x)=3x+5/x derivative of

f (x) = 3 x + \frac{5}{x}

limit as x approaches 3+of xsqrt(x-3)

x \to 3 + lim (x x - 3)

xy^'+3y=(4e^{-3x})/(x^2)

x y^{^{'}} + 3 y = \frac{4 e ^{- 3 x}}{x ^{2}}

derivative of sqrt(x^2+4x)

\frac{d}{d x} (x^{2} + 4 x)

(dy}{dx}=\frac{2x(y+1))/y

\frac{d y}{d x} = \frac{2 x ( y + 1 )}{y}

Frequently Asked Questions (FAQ)

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