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Popular >

integral of 3x+9

Solution

\int 3 x + 9 d x

Solution

\frac{3 x ^{2}}{2} + 9 x + C

Solution steps

\int 3 x + 9 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 9 d x

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

\int 9 d x = 9 x

= \frac{3 x ^{2}}{2} + 9 x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + 9 x + C

Popular Examples

integral of (10)/(x^2+25)

\int \frac{10}{x ^{2} + 25} d x

integral of x^7ln(8x^4)

\int x^{7} ln (8 x^{4}) d x

integral of (t^4+9)/(t^4+9t^2)

\int \frac{t ^{4} + 9}{t ^{4} + 9 t ^{2}} d t

integral of 1/(1+e^{x-1)}

\int \frac{1}{1 + e ^{x - 1}} d x

integral of 4x-3sec(x)tan(x)

\int 4 x - 3 sec (x) tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral of 3x+9 ?
The integral of 3x+9 is (3x^2)/2+9x+C