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Popular >

integral of 5x^{-7}

Solution

\int 5 x^{- 7} d x

Solution

- \frac{5}{6 x ^{6}} + C

Solution steps

\int 5 x^{- 7} d x

Take the constant out:

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

= 5 \cdot \int x^{- 7} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= 5 (- \frac{1}{6 x ^{6}})

Simplify

5 (- \frac{1}{6 x ^{6}}) : - \frac{5}{6 x ^{6}}

= - \frac{5}{6 x ^{6}}

Add a constant to the solution

= - \frac{5}{6 x ^{6}} + C

Popular Examples

tangent of x^3y^2=xy^3+6,(2,1)tangent of

x^{3} y^{2} = x y^{3} + 6, (2, 1)

derivative of log_{5}(6x^3)

\frac{d}{d x} (lo g_{5} (6 x^{3}))

slope of y= 1/(x-4),\at x=9 slope

y = \frac{1}{x - 4}, at x = 9

integral of 7e^2

\int 7 e^{2} d x

integral of cos^3(9x)

\int cos^{3} (9 x) d x

Frequently Asked Questions (FAQ)

What is the integral of 5x^{-7} ?
The integral of 5x^{-7} is -5/(6x^6)+C