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Popular >

integral of-1/(x^7)

Solution

\int - \frac{1}{x ^{7}} d x

Solution

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

Solution steps

\int - \frac{1}{x ^{7}} d x

Take the constant out:

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

= - \int \frac{1}{x ^{7}} d x

Apply the Power Rule

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

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

Simplify

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

Add a constant to the solution

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

Popular Examples

integral of 5x^4+3

\int 5 x^{4} + 3 d x

integral of (5x^4+6x-8)

\int (5 x^{4} + 6 x - 8) d x

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

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

integral of (csc^2(3x))/(b-acot(3x))

\int \frac{csc ^{2} ( 3 x )}{b - a cot ( 3 x )} d x

integral of 2x(x^2+11)^5

\int 2 x (x^{2} + 11)^{5} d x

Frequently Asked Questions (FAQ)

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