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Popular >

integral of x/9

Solution

\int \frac{x}{9} d x

Solution

\frac{x ^{2}}{18} + C

Solution steps

\int \frac{x}{9} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{9} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{1}{9} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{9} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{18}

= \frac{x ^{2}}{18}

Add a constant to the solution

= \frac{x ^{2}}{18} + C

Popular Examples

integral of sin(x^2)2x

\int sin (x^{2}) 2 x d x

integral of 1/(sqrt(x)+\sqrt[4]{x^3)}

integral of 5/(x^2sqrt(1+x^2))

\int \frac{5}{x ^{2} 1 + x ^{2}} d x

integral of 1/(tsqrt(1-t))

\int \frac{1}{t 1 - t} d t

integral of 12xsqrt(x^2+5)

\int 12 x x^{2} + 5 d x

Frequently Asked Questions (FAQ)

What is the integral of x/9 ?
The integral of x/9 is (x^2)/(18)+C