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Popular >

integral of 1/(9x^4)

Solution

\int \frac{1}{9 x ^{4}} d x

Solution

- \frac{1}{27 x ^{3}} + C

Solution steps

\int \frac{1}{9 x ^{4}} 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 \frac{1}{x ^{4}} d x

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

= \frac{1}{9} (- \frac{1}{3 x ^{3}})

Simplify

\frac{1}{9} (- \frac{1}{3 x ^{3}}) : - \frac{1}{27 x ^{3}}

= - \frac{1}{27 x ^{3}}

Add a constant to the solution

= - \frac{1}{27 x ^{3}} + C

Popular Examples

limit as x approaches 2-of 3

x \to 2 - lim (3)

integral of (z^2)/(1+z^3)

\int \frac{z ^{2}}{1 + z ^{3}} d z

integral of x^2sqrt(x^2+4)

\int x^{2} x^{2} + 4 d x

(\partial)/(\partial x)(2/x)

\frac{\partial}{\partial x} (\frac{2}{x})

integral of (x^4)/(sqrt(1-x^{10))}

\int \frac{x ^{4}}{1 - x ^{10}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(9x^4) ?
The integral of 1/(9x^4) is -1/(27x^3)+C