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Popular >

integral of-7/(x^8)

Solution

\int - \frac{7}{x ^{8}} d x

Solution

\frac{1}{x ^{7}} + C

Solution steps

\int - \frac{7}{x ^{8}} d x

Take the constant out:

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

= - 7 \cdot \int \frac{1}{x ^{8}} d x

Apply the Power Rule

: - \frac{1}{7 x ^{7}}

= - 7 (- \frac{1}{7 x ^{7}})

Simplify

- 7 (- \frac{1}{7 x ^{7}}) : \frac{1}{x ^{7}}

= \frac{1}{x ^{7}}

Add a constant to the solution

= \frac{1}{x ^{7}} + C

Popular Examples

tangent of f(x)=x^2+9x,\at x=-8 tangent of

f (x) = x^{2} + 9 x, at x = - 8

integral of x(ln(x)+e^x)

\int x (ln (x) + e^{x}) d x

tangent of f(x)=1-x^2,\at x=2 tangent of

f (x) = 1 - x^{2}, at x = 2

integral of (21)/(25+4r^2)

\int \frac{21}{25 + 4 r ^{2}} d r

taylor 1/x-1 taylor

\frac{1}{x} - 1

Frequently Asked Questions (FAQ)

What is the integral of-7/(x^8) ?
The integral of-7/(x^8) is 1/(x^7)+C