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Popular >

integral of 4/(x^9)

Solution

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

Solution

- \frac{1}{2 x ^{8}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{8 x ^{8}}

= 4 (- \frac{1}{8 x ^{8}})

Simplify

4 (- \frac{1}{8 x ^{8}}) : - \frac{1}{2 x ^{8}}

= - \frac{1}{2 x ^{8}}

Add a constant to the solution

= - \frac{1}{2 x ^{8}} + C

Popular Examples

integral of 0.6e^{-0.7x}

\int 0.6 e^{- 0.7 x} d x

integral of 3x^4(2x-5)

\int 3 x^{4} (2 x - 5) d x

integral of (x+9)/(x^2+5x)

\int \frac{x + 9}{x ^{2} + 5 x} d x

integral of (xe^x+5)/x

\int \frac{x e ^{x} + 5}{x} d x

integral of (2x^4)/(x^5+1)

\int \frac{2 x ^{4}}{x ^{5} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 4/(x^9) ?
The integral of 4/(x^9) is -1/(2x^8)+C