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Popular Calculus >

integral of x^{-7}

Solution

\int x^{- 7} d x

Solution

- \frac{1}{6 x ^{6}} + C

Solution steps

\int x^{- 7} d x

Apply the Power Rule

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

Add a constant to the solution

= - \frac{1}{6 x ^{6}} + C

Graph

Popular Examples

integral of (2x)/((x^2+1)ln(x^2+1))

\int \frac{2 x}{( x ^{2} + 1 ) ln ( x ^{2} + 1 )} d x

inverse oflaplace 1/((s^2(s+1)))

in v erse l a pl a ce \frac{1}{( s ^{2} ( s + 1 ) )}

derivative of (4x^2-13^{-11})

\frac{d}{d x} ((4 x^{2} - 13)^{- 11})

integral of ((x^2))/(9+x^6)

\int \frac{( x ^{2} )}{9 + x ^{6}} d x

y^{''}+y^'-12y=0

y^{^{''}} + y^{^{'}} - 12 y = 0

Frequently Asked Questions (FAQ)

What is the integral of x^{-7} ?
The integral of x^{-7} is -1/(6x^6)+C