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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

Graph

Popular Examples

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\int \frac{ln ^{3} ( x ) - 2}{x} d x

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\int 56 x^{6} (1 - x) d x

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\int x^{2} cos (3 x^{3}) d x

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\int 2 x e^{y} - y sin (x) d x

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\int sin (0.01 x) d x

Frequently Asked Questions (FAQ)

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