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Popular >

integral of 3x+3

Solution

\int 3 x + 3 d x

Solution

\frac{3 x ^{2}}{2} + 3 x + C

Solution steps

\int 3 x + 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 d x + \int 3 d x

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

\int 3 d x = 3 x

= \frac{3 x ^{2}}{2} + 3 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + 3 x + C

Popular Examples

(y^4-x^2)((dy)/(dx))=-xy

(y^{4} - x^{2}) (\frac{d y}{d x}) = - x y

(dy)/(dt)=0.5-t+2y

\frac{d y}{d t} = 0.5 - t + 2 y

limit as x approaches 0 of (e/x)^x

x \to 0 lim ((\frac{e}{x})^{x})

y(dy)/(dx)=2xe^{y^2}

y \frac{d y}{d x} = 2 x e^{y^{2}}

derivative of (3x^6+4x^3)^4 derivative of

(3 x^{6} + 4 x^{3})^{4}

Frequently Asked Questions (FAQ)

What is the integral of 3x+3 ?
The integral of 3x+3 is (3x^2)/2+3x+C