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Popular >

integral of (3x+6)

Solution

\int (3 x + 6) d x

Solution

\frac{3 x ^{2}}{2} + 6 x + C

Solution steps

\int 3 x + 6 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 6 d x

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

\int 6 d x = 6 x

= \frac{3 x ^{2}}{2} + 6 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + 6 x + C

Graph

Popular Examples

integral of 1/(z-2)

\int \frac{1}{z - 2} d z

integral of 5/((x-2)^3)

\int \frac{5}{( x - 2 ) ^{3}} d x

integral of cos^4(x/4)

\int cos^{4} (\frac{x}{4}) d x

integral of 3x+4y

\int 3 x + 4 y d x

integral of (x-3)/(x^2+5x+10)

\int \frac{x - 3}{x ^{2} + 5 x + 10} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x+6) ?
The integral of (3x+6) is (3x^2)/2+6x+C