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Popular >

integral of (8x+9)

Solution

\int (8 x + 9) d x

Solution

4 x^{2} + 9 x + C

Solution steps

\int 8 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 8 x d x + \int 9 d x

\int 8 x d x = 4 x^{2}

\int 9 d x = 9 x

= 4 x^{2} + 9 x

Add a constant to the solution

= 4 x^{2} + 9 x + C

Popular Examples

integral of cos(9x)

\int cos (9 x) d x

integral of cot(1/8 x)

\int cot (\frac{1}{8} x) d x

derivative of (4x^{3/2}-x^3+8/x)

\frac{d}{d x} (\frac{4 x ^{\frac{3}{2}} - x ^{3} + 8}{x})

derivative of 1/(2sqrt(x-1))

\frac{d}{d x} (\frac{1}{2 x - 1})

\frac{d e}{d t}

Frequently Asked Questions (FAQ)

What is the integral of (8x+9) ?
The integral of (8x+9) is 4x^2+9x+C