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Popular >

integral of-7x^{-8}

Solution

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

Solution

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

Solution steps

\int - 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 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

derivative of y=5csc(x)+7cos(x)derivative of

y = 5 csc (x) + 7 cos (x)

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

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

derivative of 2-e^{-x}

\frac{d}{d x} (2 - e^{- x})

sum from n=0 to infinity of 1/(2^{2n+1)}

n = 0 \sum \infty \frac{1}{2 ^{2 n + 1}}

limit as x approaches infinity of 1

x \to \infty lim (1)

Frequently Asked Questions (FAQ)

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