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Popular >

integral of-5/(x^6)

Solution

\int - \frac{5}{x ^{6}} d x

Solution

\frac{1}{x ^{5}} + C

Solution steps

\int - \frac{5}{x ^{6}} d x

Take the constant out:

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

= - 5 \cdot \int \frac{1}{x ^{6}} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= - 5 (- \frac{1}{5 x ^{5}})

Simplify

- 5 (- \frac{1}{5 x ^{5}}) : \frac{1}{x ^{5}}

= \frac{1}{x ^{5}}

Add a constant to the solution

= \frac{1}{x ^{5}} + C

Popular Examples

integral of xye^{xz}+z^3

\int x y e^{x z} + z^{3} d z

integral of (4-4x)^5

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

integral of (10x-3)/(x^3-4x^2-45x)

\int \frac{10 x - 3}{x ^{3} - 4 x ^{2} - 45 x} d x

integral of (-4x+12)/((x^2+2x+4)^2)

\int \frac{- 4 x + 12}{( x ^{2} + 2 x + 4 ) ^{2}} d x

integral of 1/(x(10000-x))

\int \frac{1}{x ( 10000 - x )} d x

Frequently Asked Questions (FAQ)

What is the integral of-5/(x^6) ?
The integral of-5/(x^6) is 1/(x^5)+C